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Finding the Fourth Proportional to 33,132, 45,722.16 and 18,228

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Solution

The fourth proportional to 33,132, 45,722.16 and 18,228 is: 25,154.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,132 : 45,722.16 = 18,228 : x
  2. Step 2: Convert to fraction form
    33,132/45,722.16 = 18,228/x
  3. Step 3: Cross multiply
    33,132x = 45,722.16 × 18,228
  4. Step 4: Simplify right side
    33,132x = 833,423,532.48
  5. Step 5: Solve for x
    x = 833,423,532.48/33,132
  6. Step 6: Final answer
    x = 25,154.64

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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.