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Finding the Fourth Proportional to 38,443.38, 53,037.09 and 23,338.50

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Solution

The fourth proportional to 38,443.38, 53,037.09 and 23,338.50 is: 32,198.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,443.38 : 53,037.09 = 23,338.50 : x
  2. Step 2: Convert to fraction form
    38,443.38/53,037.09 = 23,338.50/x
  3. Step 3: Cross multiply
    38,443.38x = 53,037.09 × 23,338.50
  4. Step 4: Simplify right side
    38,443.38x = 1,237,806,124.97
  5. Step 5: Solve for x
    x = 1,237,806,124.97/38,443.38
  6. Step 6: Final answer
    x = 32,198.16

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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.