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Finding the Fourth Proportional to 82,492.32, 113,839.72 and 44,766.58

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Solution

The fourth proportional to 82,492.32, 113,839.72 and 44,766.58 is: 61,778.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,492.32 : 113,839.72 = 44,766.58 : x
  2. Step 2: Convert to fraction form
    82,492.32/113,839.72 = 44,766.58/x
  3. Step 3: Cross multiply
    82,492.32x = 113,839.72 × 44,766.58
  4. Step 4: Simplify right side
    82,492.32x = 5,096,214,932.56
  5. Step 5: Solve for x
    x = 5,096,214,932.56/82,492.32
  6. Step 6: Final answer
    x = 61,778.05

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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.