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Finding the Fourth Proportional to 44,331.96, 61,177.32 and 24,189

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Solution

The fourth proportional to 44,331.96, 61,177.32 and 24,189 is: 33,380.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,331.96 : 61,177.32 = 24,189 : x
  2. Step 2: Convert to fraction form
    44,331.96/61,177.32 = 24,189/x
  3. Step 3: Cross multiply
    44,331.96x = 61,177.32 × 24,189
  4. Step 4: Simplify right side
    44,331.96x = 1,479,818,193.48
  5. Step 5: Solve for x
    x = 1,479,818,193.48/44,331.96
  6. Step 6: Final answer
    x = 33,380.39

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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.