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Finding the Fourth Proportional to 54,941, 82,407.36 and 17,499.56

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Solution

The fourth proportional to 54,941, 82,407.36 and 17,499.56 is: 26,248.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,941 : 82,407.36 = 17,499.56 : x
  2. Step 2: Convert to fraction form
    54,941/82,407.36 = 17,499.56/x
  3. Step 3: Cross multiply
    54,941x = 82,407.36 × 17,499.56
  4. Step 4: Simplify right side
    54,941x = 1,442,092,540.76
  5. Step 5: Solve for x
    x = 1,442,092,540.76/54,941
  6. Step 6: Final answer
    x = 26,248.02

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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.