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Finding the Fourth Proportional to 57,632.64, 86,405.76 and 24,391.68

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Solution

The fourth proportional to 57,632.64, 86,405.76 and 24,391.68 is: 36,569.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,632.64 : 86,405.76 = 24,391.68 : x
  2. Step 2: Convert to fraction form
    57,632.64/86,405.76 = 24,391.68/x
  3. Step 3: Cross multiply
    57,632.64x = 86,405.76 × 24,391.68
  4. Step 4: Simplify right side
    57,632.64x = 2,107,581,648.08
  5. Step 5: Solve for x
    x = 2,107,581,648.08/57,632.64
  6. Step 6: Final answer
    x = 36,569.24

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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.