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Finding the Fourth Proportional to 83,434.64, 125,157.83 and 33,514.83

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Solution

The fourth proportional to 83,434.64, 125,157.83 and 33,514.83 is: 50,274.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,434.64 : 125,157.83 = 33,514.83 : x
  2. Step 2: Convert to fraction form
    83,434.64/125,157.83 = 33,514.83/x
  3. Step 3: Cross multiply
    83,434.64x = 125,157.83 × 33,514.83
  4. Step 4: Simplify right side
    83,434.64x = 4,194,643,228.04
  5. Step 5: Solve for x
    x = 4,194,643,228.04/83,434.64
  6. Step 6: Final answer
    x = 50,274.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.