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Finding the Fourth Proportional to 27,822.76, 38,373.06 and 24,458.38

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Solution

The fourth proportional to 27,822.76, 38,373.06 and 24,458.38 is: 33,732.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,822.76 : 38,373.06 = 24,458.38 : x
  2. Step 2: Convert to fraction form
    27,822.76/38,373.06 = 24,458.38/x
  3. Step 3: Cross multiply
    27,822.76x = 38,373.06 × 24,458.38
  4. Step 4: Simplify right side
    27,822.76x = 938,542,883.24
  5. Step 5: Solve for x
    x = 938,542,883.24/27,822.76
  6. Step 6: Final answer
    x = 33,732.92

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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.