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Finding the Fourth Proportional to 41,650, 62,470.41 and 10,485.25

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Solution

The fourth proportional to 41,650, 62,470.41 and 10,485.25 is: 15,726.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,650 : 62,470.41 = 10,485.25 : x
  2. Step 2: Convert to fraction form
    41,650/62,470.41 = 10,485.25/x
  3. Step 3: Cross multiply
    41,650x = 62,470.41 × 10,485.25
  4. Step 4: Simplify right side
    41,650x = 655,017,866.45
  5. Step 5: Solve for x
    x = 655,017,866.45/41,650
  6. Step 6: Final answer
    x = 15,726.72

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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.