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Finding the Fourth Proportional to 54,471, 81,706.50 and 15,031.19

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Solution

The fourth proportional to 54,471, 81,706.50 and 15,031.19 is: 22,546.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,471 : 81,706.50 = 15,031.19 : x
  2. Step 2: Convert to fraction form
    54,471/81,706.50 = 15,031.19/x
  3. Step 3: Cross multiply
    54,471x = 81,706.50 × 15,031.19
  4. Step 4: Simplify right side
    54,471x = 1,228,145,925.74
  5. Step 5: Solve for x
    x = 1,228,145,925.74/54,471
  6. Step 6: Final answer
    x = 22,546.79

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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.