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Finding the Fourth Proportional to 41,472, 62,215.68 and 19,584

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Solution

The fourth proportional to 41,472, 62,215.68 and 19,584 is: 29,379.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,472 : 62,215.68 = 19,584 : x
  2. Step 2: Convert to fraction form
    41,472/62,215.68 = 19,584/x
  3. Step 3: Cross multiply
    41,472x = 62,215.68 × 19,584
  4. Step 4: Simplify right side
    41,472x = 1,218,431,877.12
  5. Step 5: Solve for x
    x = 1,218,431,877.12/41,472
  6. Step 6: Final answer
    x = 29,379.63

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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.