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Finding the Fourth Proportional to 82,661.50, 124,027.37 and 45,177.78

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Solution

The fourth proportional to 82,661.50, 124,027.37 and 45,177.78 is: 67,785.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,661.50 : 124,027.37 = 45,177.78 : x
  2. Step 2: Convert to fraction form
    82,661.50/124,027.37 = 45,177.78/x
  3. Step 3: Cross multiply
    82,661.50x = 124,027.37 × 45,177.78
  4. Step 4: Simplify right side
    82,661.50x = 5,603,281,644.47
  5. Step 5: Solve for x
    x = 5,603,281,644.47/82,661.50
  6. Step 6: Final answer
    x = 67,785.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.