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Finding the Fourth Proportional to 102,510.27, 153,747.88 and 27,612.90

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Solution

The fourth proportional to 102,510.27, 153,747.88 and 27,612.90 is: 41,414.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,510.27 : 153,747.88 = 27,612.90 : x
  2. Step 2: Convert to fraction form
    102,510.27/153,747.88 = 27,612.90/x
  3. Step 3: Cross multiply
    102,510.27x = 153,747.88 × 27,612.90
  4. Step 4: Simplify right side
    102,510.27x = 4,245,424,335.97
  5. Step 5: Solve for x
    x = 4,245,424,335.97/102,510.27
  6. Step 6: Final answer
    x = 41,414.63

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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.