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Finding the Fourth Proportional to 82,124.67, 123,256.24 and 32,239.80

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Solution

The fourth proportional to 82,124.67, 123,256.24 and 32,239.80 is: 48,386.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,124.67 : 123,256.24 = 32,239.80 : x
  2. Step 2: Convert to fraction form
    82,124.67/123,256.24 = 32,239.80/x
  3. Step 3: Cross multiply
    82,124.67x = 123,256.24 × 32,239.80
  4. Step 4: Simplify right side
    82,124.67x = 3,973,756,325.78
  5. Step 5: Solve for x
    x = 3,973,756,325.78/82,124.67
  6. Step 6: Final answer
    x = 48,386.88

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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.