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Finding the Fourth Proportional to 81,352.32, 112,331.52 and 65,385.60

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Solution

The fourth proportional to 81,352.32, 112,331.52 and 65,385.60 is: 90,284.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,352.32 : 112,331.52 = 65,385.60 : x
  2. Step 2: Convert to fraction form
    81,352.32/112,331.52 = 65,385.60/x
  3. Step 3: Cross multiply
    81,352.32x = 112,331.52 × 65,385.60
  4. Step 4: Simplify right side
    81,352.32x = 7,344,863,834.11
  5. Step 5: Solve for x
    x = 7,344,863,834.11/81,352.32
  6. Step 6: Final answer
    x = 90,284.63

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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.