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Finding the Fourth Proportional to 102,510.29, 153,747.91 and 27,612.92

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Solution

The fourth proportional to 102,510.29, 153,747.91 and 27,612.92 is: 41,414.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,510.29 : 153,747.91 = 27,612.92 : x
  2. Step 2: Convert to fraction form
    102,510.29/153,747.91 = 27,612.92/x
  3. Step 3: Cross multiply
    102,510.29x = 153,747.91 × 27,612.92
  4. Step 4: Simplify right side
    102,510.29x = 4,245,428,254.22
  5. Step 5: Solve for x
    x = 4,245,428,254.22/102,510.29
  6. Step 6: Final answer
    x = 41,414.66

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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.