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Finding the Fourth Proportional to 27,749.88, 41,624.88 and 9,281.88

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Solution

The fourth proportional to 27,749.88, 41,624.88 and 9,281.88 is: 13,922.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,749.88 : 41,624.88 = 9,281.88 : x
  2. Step 2: Convert to fraction form
    27,749.88/41,624.88 = 9,281.88/x
  3. Step 3: Cross multiply
    27,749.88x = 41,624.88 × 9,281.88
  4. Step 4: Simplify right side
    27,749.88x = 386,357,141.17
  5. Step 5: Solve for x
    x = 386,357,141.17/27,749.88
  6. Step 6: Final answer
    x = 13,922.84

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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.