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Finding the Fourth Proportional to 82,772.26, 114,223.53 and 45,045.70

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Solution

The fourth proportional to 82,772.26, 114,223.53 and 45,045.70 is: 62,161.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,772.26 : 114,223.53 = 45,045.70 : x
  2. Step 2: Convert to fraction form
    82,772.26/114,223.53 = 45,045.70/x
  3. Step 3: Cross multiply
    82,772.26x = 114,223.53 × 45,045.70
  4. Step 4: Simplify right side
    82,772.26x = 5,145,278,865.32
  5. Step 5: Solve for x
    x = 5,145,278,865.32/82,772.26
  6. Step 6: Final answer
    x = 62,161.87

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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.