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Finding the Fourth Proportional to 58,534.50, 80,778.18 and 31,677.57

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Solution

The fourth proportional to 58,534.50, 80,778.18 and 31,677.57 is: 43,715.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,534.50 : 80,778.18 = 31,677.57 : x
  2. Step 2: Convert to fraction form
    58,534.50/80,778.18 = 31,677.57/x
  3. Step 3: Cross multiply
    58,534.50x = 80,778.18 × 31,677.57
  4. Step 4: Simplify right side
    58,534.50x = 2,558,856,451.42
  5. Step 5: Solve for x
    x = 2,558,856,451.42/58,534.50
  6. Step 6: Final answer
    x = 43,715.36

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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.