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Finding the Fourth Proportional to 41,578.86, 62,368.29 and 10,414.11

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Solution

The fourth proportional to 41,578.86, 62,368.29 and 10,414.11 is: 15,621.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,578.86 : 62,368.29 = 10,414.11 : x
  2. Step 2: Convert to fraction form
    41,578.86/62,368.29 = 10,414.11/x
  3. Step 3: Cross multiply
    41,578.86x = 62,368.29 × 10,414.11
  4. Step 4: Simplify right side
    41,578.86x = 649,510,232.57
  5. Step 5: Solve for x
    x = 649,510,232.57/41,578.86
  6. Step 6: Final answer
    x = 15,621.17

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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.