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Finding the Fourth Proportional to 72,668.64, 100,286.85 and 48,427.50

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Solution

The fourth proportional to 72,668.64, 100,286.85 and 48,427.50 is: 66,832.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,668.64 : 100,286.85 = 48,427.50 : x
  2. Step 2: Convert to fraction form
    72,668.64/100,286.85 = 48,427.50/x
  3. Step 3: Cross multiply
    72,668.64x = 100,286.85 × 48,427.50
  4. Step 4: Simplify right side
    72,668.64x = 4,856,641,428.38
  5. Step 5: Solve for x
    x = 4,856,641,428.38/72,668.64
  6. Step 6: Final answer
    x = 66,832.70

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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.