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Finding the Fourth Proportional to 82,491.92, 113,841.04 and 44,766.16

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Solution

The fourth proportional to 82,491.92, 113,841.04 and 44,766.16 is: 61,778.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,491.92 : 113,841.04 = 44,766.16 : x
  2. Step 2: Convert to fraction form
    82,491.92/113,841.04 = 44,766.16/x
  3. Step 3: Cross multiply
    82,491.92x = 113,841.04 × 44,766.16
  4. Step 4: Simplify right side
    82,491.92x = 5,096,226,211.21
  5. Step 5: Solve for x
    x = 5,096,226,211.21/82,491.92
  6. Step 6: Final answer
    x = 61,778.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.