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Finding the Fourth Proportional to 32,781,704.40, 45,961,570.80 and 32,781,704.40

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Solution

The fourth proportional to 32,781,704.40, 45,961,570.80 and 32,781,704.40 is: 45,961,570.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,781,704.40 : 45,961,570.80 = 32,781,704.40 : x
  2. Step 2: Convert to fraction form
    32,781,704.40/45,961,570.80 = 32,781,704.40/x
  3. Step 3: Cross multiply
    32,781,704.40x = 45,961,570.80 × 32,781,704.40
  4. Step 4: Simplify right side
    32,781,704.40x = 1,506,698,627,725,271.25
  5. Step 5: Solve for x
    x = 1,506,698,627,725,271.25/32,781,704.40
  6. Step 6: Final answer
    x = 45,961,570.80

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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.