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Finding the Fourth Proportional to 57,152.88, 78,869.19 and 31,658.22

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Solution

The fourth proportional to 57,152.88, 78,869.19 and 31,658.22 is: 43,687.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,152.88 : 78,869.19 = 31,658.22 : x
  2. Step 2: Convert to fraction form
    57,152.88/78,869.19 = 31,658.22/x
  3. Step 3: Cross multiply
    57,152.88x = 78,869.19 × 31,658.22
  4. Step 4: Simplify right side
    57,152.88x = 2,496,858,168.24
  5. Step 5: Solve for x
    x = 2,496,858,168.24/57,152.88
  6. Step 6: Final answer
    x = 43,687.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.