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Finding the Fourth Proportional to 27,833.22, 41,748.21 and 9,125.46

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Solution

The fourth proportional to 27,833.22, 41,748.21 and 9,125.46 is: 13,687.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,833.22 : 41,748.21 = 9,125.46 : x
  2. Step 2: Convert to fraction form
    27,833.22/41,748.21 = 9,125.46/x
  3. Step 3: Cross multiply
    27,833.22x = 41,748.21 × 9,125.46
  4. Step 4: Simplify right side
    27,833.22x = 380,971,620.43
  5. Step 5: Solve for x
    x = 380,971,620.43/27,833.22
  6. Step 6: Final answer
    x = 13,687.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.