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Finding the Fourth Proportional to 41,287.65, 56,978.02 and 23,382.40

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Solution

The fourth proportional to 41,287.65, 56,978.02 and 23,382.40 is: 32,268.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,287.65 : 56,978.02 = 23,382.40 : x
  2. Step 2: Convert to fraction form
    41,287.65/56,978.02 = 23,382.40/x
  3. Step 3: Cross multiply
    41,287.65x = 56,978.02 × 23,382.40
  4. Step 4: Simplify right side
    41,287.65x = 1,332,282,854.85
  5. Step 5: Solve for x
    x = 1,332,282,854.85/41,287.65
  6. Step 6: Final answer
    x = 32,268.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.