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Finding the Fourth Proportional to 82,661.25, 124,026.99 and 45,177.54

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Solution

The fourth proportional to 82,661.25, 124,026.99 and 45,177.54 is: 67,785.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,661.25 : 124,026.99 = 45,177.54 : x
  2. Step 2: Convert to fraction form
    82,661.25/124,026.99 = 45,177.54/x
  3. Step 3: Cross multiply
    82,661.25x = 124,026.99 × 45,177.54
  4. Step 4: Simplify right side
    82,661.25x = 5,603,234,301.80
  5. Step 5: Solve for x
    x = 5,603,234,301.80/82,661.25
  6. Step 6: Final answer
    x = 67,785.50

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Why These Related Problems?

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