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Finding the Fourth Proportional to 48,380.22, 66,769.11 and 28,246.86

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Solution

The fourth proportional to 48,380.22, 66,769.11 and 28,246.86 is: 38,983.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,380.22 : 66,769.11 = 28,246.86 : x
  2. Step 2: Convert to fraction form
    48,380.22/66,769.11 = 28,246.86/x
  3. Step 3: Cross multiply
    48,380.22x = 66,769.11 × 28,246.86
  4. Step 4: Simplify right side
    48,380.22x = 1,886,017,702.49
  5. Step 5: Solve for x
    x = 1,886,017,702.49/48,380.22
  6. Step 6: Final answer
    x = 38,983.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.