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Finding the Fourth Proportional to 82,102.32, 113,301.72 and 44,376.48

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Solution

The fourth proportional to 82,102.32, 113,301.72 and 44,376.48 is: 61,239.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,102.32 : 113,301.72 = 44,376.48 : x
  2. Step 2: Convert to fraction form
    82,102.32/113,301.72 = 44,376.48/x
  3. Step 3: Cross multiply
    82,102.32x = 113,301.72 × 44,376.48
  4. Step 4: Simplify right side
    82,102.32x = 5,027,931,511.55
  5. Step 5: Solve for x
    x = 5,027,931,511.55/82,102.32
  6. Step 6: Final answer
    x = 61,239.82

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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.