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Finding the Fourth Proportional to 41,988, 62,990.64 and 17,364

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Solution

The fourth proportional to 41,988, 62,990.64 and 17,364 is: 26,049.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,988 : 62,990.64 = 17,364 : x
  2. Step 2: Convert to fraction form
    41,988/62,990.64 = 17,364/x
  3. Step 3: Cross multiply
    41,988x = 62,990.64 × 17,364
  4. Step 4: Simplify right side
    41,988x = 1,093,769,472.96
  5. Step 5: Solve for x
    x = 1,093,769,472.96/41,988
  6. Step 6: Final answer
    x = 26,049.57

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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.