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Finding the Fourth Proportional to 42,874, 59,166.14 and 24,011.13

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Solution

The fourth proportional to 42,874, 59,166.14 and 24,011.13 is: 33,135.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,874 : 59,166.14 = 24,011.13 : x
  2. Step 2: Convert to fraction form
    42,874/59,166.14 = 24,011.13/x
  3. Step 3: Cross multiply
    42,874x = 59,166.14 × 24,011.13
  4. Step 4: Simplify right side
    42,874x = 1,420,645,879.14
  5. Step 5: Solve for x
    x = 1,420,645,879.14/42,874
  6. Step 6: Final answer
    x = 33,135.37

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