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Finding the Fourth Proportional to 57,693.83, 86,549.65 and 24,414.08

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Solution

The fourth proportional to 57,693.83, 86,549.65 and 24,414.08 is: 36,624.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,693.83 : 86,549.65 = 24,414.08 : x
  2. Step 2: Convert to fraction form
    57,693.83/86,549.65 = 24,414.08/x
  3. Step 3: Cross multiply
    57,693.83x = 86,549.65 × 24,414.08
  4. Step 4: Simplify right side
    57,693.83x = 2,113,029,585.29
  5. Step 5: Solve for x
    x = 2,113,029,585.29/57,693.83
  6. Step 6: Final answer
    x = 36,624.88

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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.