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Finding the Fourth Proportional to 59,233.20, 81,744 and 32,377.50

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Solution

The fourth proportional to 59,233.20, 81,744 and 32,377.50 is: 44,682.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,233.20 : 81,744 = 32,377.50 : x
  2. Step 2: Convert to fraction form
    59,233.20/81,744 = 32,377.50/x
  3. Step 3: Cross multiply
    59,233.20x = 81,744 × 32,377.50
  4. Step 4: Simplify right side
    59,233.20x = 2,646,666,360
  5. Step 5: Solve for x
    x = 2,646,666,360/59,233.20
  6. Step 6: Final answer
    x = 44,682.14

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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.