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Finding the Fourth Proportional to 82,129.67, 123,263.75 and 32,244.80

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Solution

The fourth proportional to 82,129.67, 123,263.75 and 32,244.80 is: 48,394.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,129.67 : 123,263.75 = 32,244.80 : x
  2. Step 2: Convert to fraction form
    82,129.67/123,263.75 = 32,244.80/x
  3. Step 3: Cross multiply
    82,129.67x = 123,263.75 × 32,244.80
  4. Step 4: Simplify right side
    82,129.67x = 3,974,614,804.78
  5. Step 5: Solve for x
    x = 3,974,614,804.78/82,129.67
  6. Step 6: Final answer
    x = 48,394.38

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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.