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Finding the Fourth Proportional to 57,681.06, 86,560.19 and 20,241.30

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Solution

The fourth proportional to 57,681.06, 86,560.19 and 20,241.30 is: 30,375.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,681.06 : 86,560.19 = 20,241.30 : x
  2. Step 2: Convert to fraction form
    57,681.06/86,560.19 = 20,241.30/x
  3. Step 3: Cross multiply
    57,681.06x = 86,560.19 × 20,241.30
  4. Step 4: Simplify right side
    57,681.06x = 1,752,090,773.85
  5. Step 5: Solve for x
    x = 1,752,090,773.85/57,681.06
  6. Step 6: Final answer
    x = 30,375.50

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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.