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Finding the Fourth Proportional to 33,594.90, 50,374.92 and 9,899.38

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Solution

The fourth proportional to 33,594.90, 50,374.92 and 9,899.38 is: 14,843.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,594.90 : 50,374.92 = 9,899.38 : x
  2. Step 2: Convert to fraction form
    33,594.90/50,374.92 = 9,899.38/x
  3. Step 3: Cross multiply
    33,594.90x = 50,374.92 × 9,899.38
  4. Step 4: Simplify right side
    33,594.90x = 498,680,475.55
  5. Step 5: Solve for x
    x = 498,680,475.55/33,594.90
  6. Step 6: Final answer
    x = 14,843.93

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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.