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Finding the Fourth Proportional to 33,207.48, 49,787.28 and 15,660

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Solution

The fourth proportional to 33,207.48, 49,787.28 and 15,660 is: 23,478.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,207.48 : 49,787.28 = 15,660 : x
  2. Step 2: Convert to fraction form
    33,207.48/49,787.28 = 15,660/x
  3. Step 3: Cross multiply
    33,207.48x = 49,787.28 × 15,660
  4. Step 4: Simplify right side
    33,207.48x = 779,668,804.80
  5. Step 5: Solve for x
    x = 779,668,804.80/33,207.48
  6. Step 6: Final answer
    x = 23,478.71

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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.