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Finding the Fourth Proportional to 33,068, 49,589.76 and 10,874.90

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Solution

The fourth proportional to 33,068, 49,589.76 and 10,874.90 is: 16,308.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,068 : 49,589.76 = 10,874.90 : x
  2. Step 2: Convert to fraction form
    33,068/49,589.76 = 10,874.90/x
  3. Step 3: Cross multiply
    33,068x = 49,589.76 × 10,874.90
  4. Step 4: Simplify right side
    33,068x = 539,283,681.02
  5. Step 5: Solve for x
    x = 539,283,681.02/33,068
  6. Step 6: Final answer
    x = 16,308.32

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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.