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Finding the Fourth Proportional to 57,731.96, 86,643.24 and 29,650.88

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Solution

The fourth proportional to 57,731.96, 86,643.24 and 29,650.88 is: 44,499.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,731.96 : 86,643.24 = 29,650.88 : x
  2. Step 2: Convert to fraction form
    57,731.96/86,643.24 = 29,650.88/x
  3. Step 3: Cross multiply
    57,731.96x = 86,643.24 × 29,650.88
  4. Step 4: Simplify right side
    57,731.96x = 2,569,048,312.05
  5. Step 5: Solve for x
    x = 2,569,048,312.05/57,731.96
  6. Step 6: Final answer
    x = 44,499.59

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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.