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Finding the Fourth Proportional to 27,580.88, 38,073.20 and 23,353.86

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Solution

The fourth proportional to 27,580.88, 38,073.20 and 23,353.86 is: 32,238.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,580.88 : 38,073.20 = 23,353.86 : x
  2. Step 2: Convert to fraction form
    27,580.88/38,073.20 = 23,353.86/x
  3. Step 3: Cross multiply
    27,580.88x = 38,073.20 × 23,353.86
  4. Step 4: Simplify right side
    27,580.88x = 889,156,105.06
  5. Step 5: Solve for x
    x = 889,156,105.06/27,580.88
  6. Step 6: Final answer
    x = 32,238.13

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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.