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Finding the Fourth Proportional to 83,135.70, 124,667.10 and 33,199.20

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Solution

The fourth proportional to 83,135.70, 124,667.10 and 33,199.20 is: 49,784.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,135.70 : 124,667.10 = 33,199.20 : x
  2. Step 2: Convert to fraction form
    83,135.70/124,667.10 = 33,199.20/x
  3. Step 3: Cross multiply
    83,135.70x = 124,667.10 × 33,199.20
  4. Step 4: Simplify right side
    83,135.70x = 4,138,847,986.32
  5. Step 5: Solve for x
    x = 4,138,847,986.32/83,135.70
  6. Step 6: Final answer
    x = 49,784.24

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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.