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Finding the Fourth Proportional to 72,382.58, 108,575.22 and 22,464.30

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Solution

The fourth proportional to 72,382.58, 108,575.22 and 22,464.30 is: 33,696.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,382.58 : 108,575.22 = 22,464.30 : x
  2. Step 2: Convert to fraction form
    72,382.58/108,575.22 = 22,464.30/x
  3. Step 3: Cross multiply
    72,382.58x = 108,575.22 × 22,464.30
  4. Step 4: Simplify right side
    72,382.58x = 2,439,066,314.65
  5. Step 5: Solve for x
    x = 2,439,066,314.65/72,382.58
  6. Step 6: Final answer
    x = 33,696.87

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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.