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Finding the Fourth Proportional to 44,247.64, 66,377.70 and 16,543

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Solution

The fourth proportional to 44,247.64, 66,377.70 and 16,543 is: 24,816.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,247.64 : 66,377.70 = 16,543 : x
  2. Step 2: Convert to fraction form
    44,247.64/66,377.70 = 16,543/x
  3. Step 3: Cross multiply
    44,247.64x = 66,377.70 × 16,543
  4. Step 4: Simplify right side
    44,247.64x = 1,098,086,291.10
  5. Step 5: Solve for x
    x = 1,098,086,291.10/44,247.64
  6. Step 6: Final answer
    x = 24,816.83

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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.