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Finding the Fourth Proportional to 27,791.21, 38,271 and 24,155.63

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Solution

The fourth proportional to 27,791.21, 38,271 and 24,155.63 is: 33,264.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,791.21 : 38,271 = 24,155.63 : x
  2. Step 2: Convert to fraction form
    27,791.21/38,271 = 24,155.63/x
  3. Step 3: Cross multiply
    27,791.21x = 38,271 × 24,155.63
  4. Step 4: Simplify right side
    27,791.21x = 924,460,115.73
  5. Step 5: Solve for x
    x = 924,460,115.73/27,791.21
  6. Step 6: Final answer
    x = 33,264.48

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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.