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Finding the Fourth Proportional to 57,534.64, 86,306.64 and 15,981.64

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Solution

The fourth proportional to 57,534.64, 86,306.64 and 15,981.64 is: 23,973.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,534.64 : 86,306.64 = 15,981.64 : x
  2. Step 2: Convert to fraction form
    57,534.64/86,306.64 = 15,981.64/x
  3. Step 3: Cross multiply
    57,534.64x = 86,306.64 × 15,981.64
  4. Step 4: Simplify right side
    57,534.64x = 1,379,321,650.09
  5. Step 5: Solve for x
    x = 1,379,321,650.09/57,534.64
  6. Step 6: Final answer
    x = 23,973.76

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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.