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Finding the Fourth Proportional to 38,458.24, 53,042.52 and 24,305.92

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Solution

The fourth proportional to 38,458.24, 53,042.52 and 24,305.92 is: 33,523.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,458.24 : 53,042.52 = 24,305.92 : x
  2. Step 2: Convert to fraction form
    38,458.24/53,042.52 = 24,305.92/x
  3. Step 3: Cross multiply
    38,458.24x = 53,042.52 × 24,305.92
  4. Step 4: Simplify right side
    38,458.24x = 1,289,247,247.72
  5. Step 5: Solve for x
    x = 1,289,247,247.72/38,458.24
  6. Step 6: Final answer
    x = 33,523.30

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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.