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Finding the Fourth Proportional to 27,634, 38,134.92 and 15,058.75

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Solution

The fourth proportional to 27,634, 38,134.92 and 15,058.75 is: 20,781.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,634 : 38,134.92 = 15,058.75 : x
  2. Step 2: Convert to fraction form
    27,634/38,134.92 = 15,058.75/x
  3. Step 3: Cross multiply
    27,634x = 38,134.92 × 15,058.75
  4. Step 4: Simplify right side
    27,634x = 574,264,226.55
  5. Step 5: Solve for x
    x = 574,264,226.55/27,634
  6. Step 6: Final answer
    x = 20,781.08

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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.