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Finding the Fourth Proportional to 71,207.16, 106,818.06 and 26,871.24

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Solution

The fourth proportional to 71,207.16, 106,818.06 and 26,871.24 is: 40,309.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,207.16 : 106,818.06 = 26,871.24 : x
  2. Step 2: Convert to fraction form
    71,207.16/106,818.06 = 26,871.24/x
  3. Step 3: Cross multiply
    71,207.16x = 106,818.06 × 26,871.24
  4. Step 4: Simplify right side
    71,207.16x = 2,870,333,726.59
  5. Step 5: Solve for x
    x = 2,870,333,726.59/71,207.16
  6. Step 6: Final answer
    x = 40,309.62

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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.