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Finding the Fourth Proportional to 86,416.38, 129,675.59 and 36,493.24

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Solution

The fourth proportional to 86,416.38, 129,675.59 and 36,493.24 is: 54,761.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,416.38 : 129,675.59 = 36,493.24 : x
  2. Step 2: Convert to fraction form
    86,416.38/129,675.59 = 36,493.24/x
  3. Step 3: Cross multiply
    86,416.38x = 129,675.59 × 36,493.24
  4. Step 4: Simplify right side
    86,416.38x = 4,732,282,428.01
  5. Step 5: Solve for x
    x = 4,732,282,428.01/86,416.38
  6. Step 6: Final answer
    x = 54,761.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.