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Finding the Fourth Proportional to 41,959.23, 57,902.03 and 24,041.78

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Solution

The fourth proportional to 41,959.23, 57,902.03 and 24,041.78 is: 33,176.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,959.23 : 57,902.03 = 24,041.78 : x
  2. Step 2: Convert to fraction form
    41,959.23/57,902.03 = 24,041.78/x
  3. Step 3: Cross multiply
    41,959.23x = 57,902.03 × 24,041.78
  4. Step 4: Simplify right side
    41,959.23x = 1,392,067,782.16
  5. Step 5: Solve for x
    x = 1,392,067,782.16/41,959.23
  6. Step 6: Final answer
    x = 33,176.67

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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.