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Finding the Fourth Proportional to 33,248, 45,882.24 and 18,344

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Solution

The fourth proportional to 33,248, 45,882.24 and 18,344 is: 25,314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,248 : 45,882.24 = 18,344 : x
  2. Step 2: Convert to fraction form
    33,248/45,882.24 = 18,344/x
  3. Step 3: Cross multiply
    33,248x = 45,882.24 × 18,344
  4. Step 4: Simplify right side
    33,248x = 841,663,810.56
  5. Step 5: Solve for x
    x = 841,663,810.56/33,248
  6. Step 6: Final answer
    x = 25,314.72

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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.