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Finding the Fourth Proportional to 83,532.58, 125,361.16 and 33,613.12

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Solution

The fourth proportional to 83,532.58, 125,361.16 and 33,613.12 is: 50,444.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,532.58 : 125,361.16 = 33,613.12 : x
  2. Step 2: Convert to fraction form
    83,532.58/125,361.16 = 33,613.12/x
  3. Step 3: Cross multiply
    83,532.58x = 125,361.16 × 33,613.12
  4. Step 4: Simplify right side
    83,532.58x = 4,213,779,714.42
  5. Step 5: Solve for x
    x = 4,213,779,714.42/83,532.58
  6. Step 6: Final answer
    x = 50,444.75

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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.