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Finding the Fourth Proportional to 45,827.28, 68,751.84 and 16,247.72

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Solution

The fourth proportional to 45,827.28, 68,751.84 and 16,247.72 is: 24,375.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,827.28 : 68,751.84 = 16,247.72 : x
  2. Step 2: Convert to fraction form
    45,827.28/68,751.84 = 16,247.72/x
  3. Step 3: Cross multiply
    45,827.28x = 68,751.84 × 16,247.72
  4. Step 4: Simplify right side
    45,827.28x = 1,117,060,645.80
  5. Step 5: Solve for x
    x = 1,117,060,645.80/45,827.28
  6. Step 6: Final answer
    x = 24,375.45

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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.