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Finding the Fourth Proportional to 27,722.96, 38,298.16 and 23,990.48

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Solution

The fourth proportional to 27,722.96, 38,298.16 and 23,990.48 is: 33,141.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,722.96 : 38,298.16 = 23,990.48 : x
  2. Step 2: Convert to fraction form
    27,722.96/38,298.16 = 23,990.48/x
  3. Step 3: Cross multiply
    27,722.96x = 38,298.16 × 23,990.48
  4. Step 4: Simplify right side
    27,722.96x = 918,791,241.52
  5. Step 5: Solve for x
    x = 918,791,241.52/27,722.96
  6. Step 6: Final answer
    x = 33,141.89

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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.