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Finding the Fourth Proportional to 56,658.58, 78,189 and 31,167.57

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Solution

The fourth proportional to 56,658.58, 78,189 and 31,167.57 is: 43,011.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,658.58 : 78,189 = 31,167.57 : x
  2. Step 2: Convert to fraction form
    56,658.58/78,189 = 31,167.57/x
  3. Step 3: Cross multiply
    56,658.58x = 78,189 × 31,167.57
  4. Step 4: Simplify right side
    56,658.58x = 2,436,961,130.73
  5. Step 5: Solve for x
    x = 2,436,961,130.73/56,658.58
  6. Step 6: Final answer
    x = 43,011.33

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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.