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Finding the Fourth Proportional to 42,812.92, 59,093.70 and 24,911.38

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Solution

The fourth proportional to 42,812.92, 59,093.70 and 24,911.38 is: 34,384.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,812.92 : 59,093.70 = 24,911.38 : x
  2. Step 2: Convert to fraction form
    42,812.92/59,093.70 = 24,911.38/x
  3. Step 3: Cross multiply
    42,812.92x = 59,093.70 × 24,911.38
  4. Step 4: Simplify right side
    42,812.92x = 1,472,105,616.31
  5. Step 5: Solve for x
    x = 1,472,105,616.31/42,812.92
  6. Step 6: Final answer
    x = 34,384.61

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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.