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Finding the Fourth Proportional to 41,854.24, 57,769.56 and 25,952.32

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Solution

The fourth proportional to 41,854.24, 57,769.56 and 25,952.32 is: 35,820.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,854.24 : 57,769.56 = 25,952.32 : x
  2. Step 2: Convert to fraction form
    41,854.24/57,769.56 = 25,952.32/x
  3. Step 3: Cross multiply
    41,854.24x = 57,769.56 × 25,952.32
  4. Step 4: Simplify right side
    41,854.24x = 1,499,254,107.38
  5. Step 5: Solve for x
    x = 1,499,254,107.38/41,854.24
  6. Step 6: Final answer
    x = 35,820.84

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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.