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Finding the Fourth Proportional to 61,857.92, 92,704.16 and 32,213.52

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Solution

The fourth proportional to 61,857.92, 92,704.16 and 32,213.52 is: 48,277.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,857.92 : 92,704.16 = 32,213.52 : x
  2. Step 2: Convert to fraction form
    61,857.92/92,704.16 = 32,213.52/x
  3. Step 3: Cross multiply
    61,857.92x = 92,704.16 × 32,213.52
  4. Step 4: Simplify right side
    61,857.92x = 2,986,327,312.24
  5. Step 5: Solve for x
    x = 2,986,327,312.24/61,857.92
  6. Step 6: Final answer
    x = 48,277.20

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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.