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Finding the Fourth Proportional to 27,542.38, 38,005.50 and 15,605.50

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Solution

The fourth proportional to 27,542.38, 38,005.50 and 15,605.50 is: 21,533.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,542.38 : 38,005.50 = 15,605.50 : x
  2. Step 2: Convert to fraction form
    27,542.38/38,005.50 = 15,605.50/x
  3. Step 3: Cross multiply
    27,542.38x = 38,005.50 × 15,605.50
  4. Step 4: Simplify right side
    27,542.38x = 593,094,830.25
  5. Step 5: Solve for x
    x = 593,094,830.25/27,542.38
  6. Step 6: Final answer
    x = 21,533.90

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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.