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Finding the Fourth Proportional to 82,204.76, 113,442.56 and 44,479

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Solution

The fourth proportional to 82,204.76, 113,442.56 and 44,479 is: 61,381.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,204.76 : 113,442.56 = 44,479 : x
  2. Step 2: Convert to fraction form
    82,204.76/113,442.56 = 44,479/x
  3. Step 3: Cross multiply
    82,204.76x = 113,442.56 × 44,479
  4. Step 4: Simplify right side
    82,204.76x = 5,045,811,626.24
  5. Step 5: Solve for x
    x = 5,045,811,626.24/82,204.76
  6. Step 6: Final answer
    x = 61,381.02

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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.