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Finding the Fourth Proportional to 57,734.71, 86,534.83 and 24,443.71

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Solution

The fourth proportional to 57,734.71, 86,534.83 and 24,443.71 is: 36,637.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,734.71 : 86,534.83 = 24,443.71 : x
  2. Step 2: Convert to fraction form
    57,734.71/86,534.83 = 24,443.71/x
  3. Step 3: Cross multiply
    57,734.71x = 86,534.83 × 24,443.71
  4. Step 4: Simplify right side
    57,734.71x = 2,115,232,289.42
  5. Step 5: Solve for x
    x = 2,115,232,289.42/57,734.71
  6. Step 6: Final answer
    x = 36,637.10

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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.