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Finding the Fourth Proportional to 82,228.32, 113,474.88 and 44,503.20

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Solution

The fourth proportional to 82,228.32, 113,474.88 and 44,503.20 is: 61,414.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,228.32 : 113,474.88 = 44,503.20 : x
  2. Step 2: Convert to fraction form
    82,228.32/113,474.88 = 44,503.20/x
  3. Step 3: Cross multiply
    82,228.32x = 113,474.88 × 44,503.20
  4. Step 4: Simplify right side
    82,228.32x = 5,049,995,279.62
  5. Step 5: Solve for x
    x = 5,049,995,279.62/82,228.32
  6. Step 6: Final answer
    x = 61,414.31

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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.