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Finding the Fourth Proportional to 32,704.70, 48,947.70 and 22,863.20

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Solution

The fourth proportional to 32,704.70, 48,947.70 and 22,863.20 is: 34,218.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,704.70 : 48,947.70 = 22,863.20 : x
  2. Step 2: Convert to fraction form
    32,704.70/48,947.70 = 22,863.20/x
  3. Step 3: Cross multiply
    32,704.70x = 48,947.70 × 22,863.20
  4. Step 4: Simplify right side
    32,704.70x = 1,119,101,054.64
  5. Step 5: Solve for x
    x = 1,119,101,054.64/32,704.70
  6. Step 6: Final answer
    x = 34,218.36

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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.