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Finding the Fourth Proportional to 38,400.89, 52,965.90 and 24,947.19

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Solution

The fourth proportional to 38,400.89, 52,965.90 and 24,947.19 is: 34,409.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,400.89 : 52,965.90 = 24,947.19 : x
  2. Step 2: Convert to fraction form
    38,400.89/52,965.90 = 24,947.19/x
  3. Step 3: Cross multiply
    38,400.89x = 52,965.90 × 24,947.19
  4. Step 4: Simplify right side
    38,400.89x = 1,321,350,370.82
  5. Step 5: Solve for x
    x = 1,321,350,370.82/38,400.89
  6. Step 6: Final answer
    x = 34,409.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.