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Finding the Fourth Proportional to 82,480.65, 113,823.28 and 44,754.90

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Solution

The fourth proportional to 82,480.65, 113,823.28 and 44,754.90 is: 61,761.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,480.65 : 113,823.28 = 44,754.90 : x
  2. Step 2: Convert to fraction form
    82,480.65/113,823.28 = 44,754.90/x
  3. Step 3: Cross multiply
    82,480.65x = 113,823.28 × 44,754.90
  4. Step 4: Simplify right side
    82,480.65x = 5,094,149,143.18
  5. Step 5: Solve for x
    x = 5,094,149,143.18/82,480.65
  6. Step 6: Final answer
    x = 61,761.75

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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.