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Finding the Fourth Proportional to 57,847.47, 86,672.17 and 31,570.66

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Solution

The fourth proportional to 57,847.47, 86,672.17 and 31,570.66 is: 47,301.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,847.47 : 86,672.17 = 31,570.66 : x
  2. Step 2: Convert to fraction form
    57,847.47/86,672.17 = 31,570.66/x
  3. Step 3: Cross multiply
    57,847.47x = 86,672.17 × 31,570.66
  4. Step 4: Simplify right side
    57,847.47x = 2,736,297,610.53
  5. Step 5: Solve for x
    x = 2,736,297,610.53/57,847.47
  6. Step 6: Final answer
    x = 47,301.94

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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.