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Finding the Fourth Proportional to 72,097.65, 108,146.72 and 22,177.41

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Solution

The fourth proportional to 72,097.65, 108,146.72 and 22,177.41 is: 33,266.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,097.65 : 108,146.72 = 22,177.41 : x
  2. Step 2: Convert to fraction form
    72,097.65/108,146.72 = 22,177.41/x
  3. Step 3: Cross multiply
    72,097.65x = 108,146.72 × 22,177.41
  4. Step 4: Simplify right side
    72,097.65x = 2,398,414,149.60
  5. Step 5: Solve for x
    x = 2,398,414,149.60/72,097.65
  6. Step 6: Final answer
    x = 33,266.19

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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.