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Finding the Fourth Proportional to 41,710.40, 62,578.40 and 32,948.80

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Solution

The fourth proportional to 41,710.40, 62,578.40 and 32,948.80 is: 49,433.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,710.40 : 62,578.40 = 32,948.80 : x
  2. Step 2: Convert to fraction form
    41,710.40/62,578.40 = 32,948.80/x
  3. Step 3: Cross multiply
    41,710.40x = 62,578.40 × 32,948.80
  4. Step 4: Simplify right side
    41,710.40x = 2,061,883,185.92
  5. Step 5: Solve for x
    x = 2,061,883,185.92/41,710.40
  6. Step 6: Final answer
    x = 49,433.31

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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.