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Finding the Fourth Proportional to 38,449.28, 53,063.67 and 23,338.47

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Solution

The fourth proportional to 38,449.28, 53,063.67 and 23,338.47 is: 32,209.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,449.28 : 53,063.67 = 23,338.47 : x
  2. Step 2: Convert to fraction form
    38,449.28/53,063.67 = 23,338.47/x
  3. Step 3: Cross multiply
    38,449.28x = 53,063.67 × 23,338.47
  4. Step 4: Simplify right side
    38,449.28x = 1,238,424,959.97
  5. Step 5: Solve for x
    x = 1,238,424,959.97/38,449.28
  6. Step 6: Final answer
    x = 32,209.32

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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.