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Finding the Fourth Proportional to 33,447.96, 50,146.02 and 14,967

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Solution

The fourth proportional to 33,447.96, 50,146.02 and 14,967 is: 22,438.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,447.96 : 50,146.02 = 14,967 : x
  2. Step 2: Convert to fraction form
    33,447.96/50,146.02 = 14,967/x
  3. Step 3: Cross multiply
    33,447.96x = 50,146.02 × 14,967
  4. Step 4: Simplify right side
    33,447.96x = 750,535,481.34
  5. Step 5: Solve for x
    x = 750,535,481.34/33,447.96
  6. Step 6: Final answer
    x = 22,438.90

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1.5x scale

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.