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Finding the Fourth Proportional to 71,746.40, 107,587.20 and 32,283.20

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Solution

The fourth proportional to 71,746.40, 107,587.20 and 32,283.20 is: 48,410.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,746.40 : 107,587.20 = 32,283.20 : x
  2. Step 2: Convert to fraction form
    71,746.40/107,587.20 = 32,283.20/x
  3. Step 3: Cross multiply
    71,746.40x = 107,587.20 × 32,283.20
  4. Step 4: Simplify right side
    71,746.40x = 3,473,259,095.04
  5. Step 5: Solve for x
    x = 3,473,259,095.04/71,746.40
  6. Step 6: Final answer
    x = 48,410.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.