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Finding the Fourth Proportional to 42,957.66, 59,262.15 and 27,854.15

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Solution

The fourth proportional to 42,957.66, 59,262.15 and 27,854.15 is: 38,426.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,957.66 : 59,262.15 = 27,854.15 : x
  2. Step 2: Convert to fraction form
    42,957.66/59,262.15 = 27,854.15/x
  3. Step 3: Cross multiply
    42,957.66x = 59,262.15 × 27,854.15
  4. Step 4: Simplify right side
    42,957.66x = 1,650,696,519.11
  5. Step 5: Solve for x
    x = 1,650,696,519.11/42,957.66
  6. Step 6: Final answer
    x = 38,426.13

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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.