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Finding the Fourth Proportional to 54,687.60, 82,031.40 and 17,259.14

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Solution

The fourth proportional to 54,687.60, 82,031.40 and 17,259.14 is: 25,888.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,687.60 : 82,031.40 = 17,259.14 : x
  2. Step 2: Convert to fraction form
    54,687.60/82,031.40 = 17,259.14/x
  3. Step 3: Cross multiply
    54,687.60x = 82,031.40 × 17,259.14
  4. Step 4: Simplify right side
    54,687.60x = 1,415,791,622.07
  5. Step 5: Solve for x
    x = 1,415,791,622.07/54,687.60
  6. Step 6: Final answer
    x = 25,888.71

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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.