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Finding the Fourth Proportional to 41,314.50, 61,972.47 and 16,690.50

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Solution

The fourth proportional to 41,314.50, 61,972.47 and 16,690.50 is: 25,036.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,314.50 : 61,972.47 = 16,690.50 : x
  2. Step 2: Convert to fraction form
    41,314.50/61,972.47 = 16,690.50/x
  3. Step 3: Cross multiply
    41,314.50x = 61,972.47 × 16,690.50
  4. Step 4: Simplify right side
    41,314.50x = 1,034,351,510.54
  5. Step 5: Solve for x
    x = 1,034,351,510.54/41,314.50
  6. Step 6: Final answer
    x = 25,036.04

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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.