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Finding the Fourth Proportional to 41,589.88, 57,377.76 and 25,646.65

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Solution

The fourth proportional to 41,589.88, 57,377.76 and 25,646.65 is: 35,382.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,589.88 : 57,377.76 = 25,646.65 : x
  2. Step 2: Convert to fraction form
    41,589.88/57,377.76 = 25,646.65/x
  3. Step 3: Cross multiply
    41,589.88x = 57,377.76 × 25,646.65
  4. Step 4: Simplify right side
    41,589.88x = 1,471,547,328.50
  5. Step 5: Solve for x
    x = 1,471,547,328.50/41,589.88
  6. Step 6: Final answer
    x = 35,382.34

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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.