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Finding the Fourth Proportional to 33,314.80, 49,966.44 and 12,538.48

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Solution

The fourth proportional to 33,314.80, 49,966.44 and 12,538.48 is: 18,805.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,314.80 : 49,966.44 = 12,538.48 : x
  2. Step 2: Convert to fraction form
    33,314.80/49,966.44 = 12,538.48/x
  3. Step 3: Cross multiply
    33,314.80x = 49,966.44 × 12,538.48
  4. Step 4: Simplify right side
    33,314.80x = 626,503,208.61
  5. Step 5: Solve for x
    x = 626,503,208.61/33,314.80
  6. Step 6: Final answer
    x = 18,805.55

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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.