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Finding the Fourth Proportional to 42,809.92, 59,089.56 and 24,908.38

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Solution

The fourth proportional to 42,809.92, 59,089.56 and 24,908.38 is: 34,380.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,809.92 : 59,089.56 = 24,908.38 : x
  2. Step 2: Convert to fraction form
    42,809.92/59,089.56 = 24,908.38/x
  3. Step 3: Cross multiply
    42,809.92x = 59,089.56 × 24,908.38
  4. Step 4: Simplify right side
    42,809.92x = 1,471,825,089.97
  5. Step 5: Solve for x
    x = 1,471,825,089.97/42,809.92
  6. Step 6: Final answer
    x = 34,380.47

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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.