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Finding the Fourth Proportional to 82,257.64, 113,515.89 and 44,531.89

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Solution

The fourth proportional to 82,257.64, 113,515.89 and 44,531.89 is: 61,454.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,257.64 : 113,515.89 = 44,531.89 : x
  2. Step 2: Convert to fraction form
    82,257.64/113,515.89 = 44,531.89/x
  3. Step 3: Cross multiply
    82,257.64x = 113,515.89 × 44,531.89
  4. Step 4: Simplify right side
    82,257.64x = 5,055,077,126.73
  5. Step 5: Solve for x
    x = 5,055,077,126.73/82,257.64
  6. Step 6: Final answer
    x = 61,454.20

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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.