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Finding the Fourth Proportional to 41,585, 62,377.50 and 10,420.28

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Solution

The fourth proportional to 41,585, 62,377.50 and 10,420.28 is: 15,630.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,585 : 62,377.50 = 10,420.28 : x
  2. Step 2: Convert to fraction form
    41,585/62,377.50 = 10,420.28/x
  3. Step 3: Cross multiply
    41,585x = 62,377.50 × 10,420.28
  4. Step 4: Simplify right side
    41,585x = 649,991,015.70
  5. Step 5: Solve for x
    x = 649,991,015.70/41,585
  6. Step 6: Final answer
    x = 15,630.42

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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.