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Finding the Fourth Proportional to 33,058.88, 49,585.92 and 10,872

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Solution

The fourth proportional to 33,058.88, 49,585.92 and 10,872 is: 16,307.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,058.88 : 49,585.92 = 10,872 : x
  2. Step 2: Convert to fraction form
    33,058.88/49,585.92 = 10,872/x
  3. Step 3: Cross multiply
    33,058.88x = 49,585.92 × 10,872
  4. Step 4: Simplify right side
    33,058.88x = 539,098,122.24
  5. Step 5: Solve for x
    x = 539,098,122.24/33,058.88
  6. Step 6: Final answer
    x = 16,307.21

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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.