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Finding the Fourth Proportional to 41,249, 56,938.38 and 24,482

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Solution

The fourth proportional to 41,249, 56,938.38 and 24,482 is: 33,793.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,249 : 56,938.38 = 24,482 : x
  2. Step 2: Convert to fraction form
    41,249/56,938.38 = 24,482/x
  3. Step 3: Cross multiply
    41,249x = 56,938.38 × 24,482
  4. Step 4: Simplify right side
    41,249x = 1,393,965,419.16
  5. Step 5: Solve for x
    x = 1,393,965,419.16/41,249
  6. Step 6: Final answer
    x = 33,793.92

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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.