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Finding the Fourth Proportional to 47,494.01, 71,250.20 and 14,211.20

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Solution

The fourth proportional to 47,494.01, 71,250.20 and 14,211.20 is: 21,319.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,494.01 : 71,250.20 = 14,211.20 : x
  2. Step 2: Convert to fraction form
    47,494.01/71,250.20 = 14,211.20/x
  3. Step 3: Cross multiply
    47,494.01x = 71,250.20 × 14,211.20
  4. Step 4: Simplify right side
    47,494.01x = 1,012,550,414.93
  5. Step 5: Solve for x
    x = 1,012,550,414.93/47,494.01
  6. Step 6: Final answer
    x = 21,319.54

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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.