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Finding the Fourth Proportional to 38,442.52, 53,034.02 and 24,093.64

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Solution

The fourth proportional to 38,442.52, 53,034.02 and 24,093.64 is: 33,238.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,442.52 : 53,034.02 = 24,093.64 : x
  2. Step 2: Convert to fraction form
    38,442.52/53,034.02 = 24,093.64/x
  3. Step 3: Cross multiply
    38,442.52x = 53,034.02 × 24,093.64
  4. Step 4: Simplify right side
    38,442.52x = 1,277,782,585.63
  5. Step 5: Solve for x
    x = 1,277,782,585.63/38,442.52
  6. Step 6: Final answer
    x = 33,238.78

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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.