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Finding the Fourth Proportional to 57,374.92, 86,324.82 and 34,017.76

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Solution

The fourth proportional to 57,374.92, 86,324.82 and 34,017.76 is: 51,182.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,374.92 : 86,324.82 = 34,017.76 : x
  2. Step 2: Convert to fraction form
    57,374.92/86,324.82 = 34,017.76/x
  3. Step 3: Cross multiply
    57,374.92x = 86,324.82 × 34,017.76
  4. Step 4: Simplify right side
    57,374.92x = 2,936,577,008.80
  5. Step 5: Solve for x
    x = 2,936,577,008.80/57,374.92
  6. Step 6: Final answer
    x = 51,182.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.