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Finding the Fourth Proportional to 38,174.31, 57,518.87 and 31,655.43

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Solution

The fourth proportional to 38,174.31, 57,518.87 and 31,655.43 is: 47,696.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,174.31 : 57,518.87 = 31,655.43 : x
  2. Step 2: Convert to fraction form
    38,174.31/57,518.87 = 31,655.43/x
  3. Step 3: Cross multiply
    38,174.31x = 57,518.87 × 31,655.43
  4. Step 4: Simplify right side
    38,174.31x = 1,820,784,404.69
  5. Step 5: Solve for x
    x = 1,820,784,404.69/38,174.31
  6. Step 6: Final answer
    x = 47,696.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.