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Finding the Fourth Proportional to 82,761.75, 114,211.22 and 45,036.27

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Solution

The fourth proportional to 82,761.75, 114,211.22 and 45,036.27 is: 62,150.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,761.75 : 114,211.22 = 45,036.27 : x
  2. Step 2: Convert to fraction form
    82,761.75/114,211.22 = 45,036.27/x
  3. Step 3: Cross multiply
    82,761.75x = 114,211.22 × 45,036.27
  4. Step 4: Simplify right side
    82,761.75x = 5,143,647,115.77
  5. Step 5: Solve for x
    x = 5,143,647,115.77/82,761.75
  6. Step 6: Final answer
    x = 62,150.05

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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.