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Finding the Fourth Proportional to 32,781,738.40, 45,961,618.40 and 32,781,738.40

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Solution

The fourth proportional to 32,781,738.40, 45,961,618.40 and 32,781,738.40 is: 45,961,618.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,781,738.40 : 45,961,618.40 = 32,781,738.40 : x
  2. Step 2: Convert to fraction form
    32,781,738.40/45,961,618.40 = 32,781,738.40/x
  3. Step 3: Cross multiply
    32,781,738.40x = 45,961,618.40 × 32,781,738.40
  4. Step 4: Simplify right side
    32,781,738.40x = 1,506,701,750,829,426.50
  5. Step 5: Solve for x
    x = 1,506,701,750,829,426.50/32,781,738.40
  6. Step 6: Final answer
    x = 45,961,618.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.