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Finding the Fourth Proportional to 57,536.16, 86,248.47 and 29,469.48

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Solution

The fourth proportional to 57,536.16, 86,248.47 and 29,469.48 is: 44,175.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,536.16 : 86,248.47 = 29,469.48 : x
  2. Step 2: Convert to fraction form
    57,536.16/86,248.47 = 29,469.48/x
  3. Step 3: Cross multiply
    57,536.16x = 86,248.47 × 29,469.48
  4. Step 4: Simplify right side
    57,536.16x = 2,541,697,561.70
  5. Step 5: Solve for x
    x = 2,541,697,561.70/57,536.16
  6. Step 6: Final answer
    x = 44,175.66

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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.