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Finding the Fourth Proportional to 52,032.71, 71,805.14 and 28,159.39

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Solution

The fourth proportional to 52,032.71, 71,805.14 and 28,159.39 is: 38,859.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,032.71 : 71,805.14 = 28,159.39 : x
  2. Step 2: Convert to fraction form
    52,032.71/71,805.14 = 28,159.39/x
  3. Step 3: Cross multiply
    52,032.71x = 71,805.14 × 28,159.39
  4. Step 4: Simplify right side
    52,032.71x = 2,021,988,800.47
  5. Step 5: Solve for x
    x = 2,021,988,800.47/52,032.71
  6. Step 6: Final answer
    x = 38,859.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.