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Finding the Fourth Proportional to 41,632, 62,468.50 and 19,442.15

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Solution

The fourth proportional to 41,632, 62,468.50 and 19,442.15 is: 29,172.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,632 : 62,468.50 = 19,442.15 : x
  2. Step 2: Convert to fraction form
    41,632/62,468.50 = 19,442.15/x
  3. Step 3: Cross multiply
    41,632x = 62,468.50 × 19,442.15
  4. Step 4: Simplify right side
    41,632x = 1,214,521,947.28
  5. Step 5: Solve for x
    x = 1,214,521,947.28/41,632
  6. Step 6: Final answer
    x = 29,172.80

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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.