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Finding the Fourth Proportional to 32,763.92, 49,072.01 and 22,947.01

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Solution

The fourth proportional to 32,763.92, 49,072.01 and 22,947.01 is: 34,368.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,763.92 : 49,072.01 = 22,947.01 : x
  2. Step 2: Convert to fraction form
    32,763.92/49,072.01 = 22,947.01/x
  3. Step 3: Cross multiply
    32,763.92x = 49,072.01 × 22,947.01
  4. Step 4: Simplify right side
    32,763.92x = 1,126,055,658.83
  5. Step 5: Solve for x
    x = 1,126,055,658.83/32,763.92
  6. Step 6: Final answer
    x = 34,368.78

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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.