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Finding the Fourth Proportional to 83,076.30, 124,614.45 and 27,672.30

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Solution

The fourth proportional to 83,076.30, 124,614.45 and 27,672.30 is: 41,508.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,076.30 : 124,614.45 = 27,672.30 : x
  2. Step 2: Convert to fraction form
    83,076.30/124,614.45 = 27,672.30/x
  3. Step 3: Cross multiply
    83,076.30x = 124,614.45 × 27,672.30
  4. Step 4: Simplify right side
    83,076.30x = 3,448,368,444.74
  5. Step 5: Solve for x
    x = 3,448,368,444.74/83,076.30
  6. Step 6: Final answer
    x = 41,508.45

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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.