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Finding the Fourth Proportional to 38,949.04, 53,749.68 and 22,182

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Solution

The fourth proportional to 38,949.04, 53,749.68 and 22,182 is: 30,611.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,949.04 : 53,749.68 = 22,182 : x
  2. Step 2: Convert to fraction form
    38,949.04/53,749.68 = 22,182/x
  3. Step 3: Cross multiply
    38,949.04x = 53,749.68 × 22,182
  4. Step 4: Simplify right side
    38,949.04x = 1,192,275,401.76
  5. Step 5: Solve for x
    x = 1,192,275,401.76/38,949.04
  6. Step 6: Final answer
    x = 30,611.16

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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.