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Finding the Fourth Proportional to 57,449.64, 86,200.10 and 29,354.91

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Solution

The fourth proportional to 57,449.64, 86,200.10 and 29,354.91 is: 44,045.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,449.64 : 86,200.10 = 29,354.91 : x
  2. Step 2: Convert to fraction form
    57,449.64/86,200.10 = 29,354.91/x
  3. Step 3: Cross multiply
    57,449.64x = 86,200.10 × 29,354.91
  4. Step 4: Simplify right side
    57,449.64x = 2,530,396,030.72
  5. Step 5: Solve for x
    x = 2,530,396,030.72/57,449.64
  6. Step 6: Final answer
    x = 44,045.46

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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.