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Finding the Fourth Proportional to 82,728.90, 124,144.65 and 43,314.30

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Solution

The fourth proportional to 82,728.90, 124,144.65 and 43,314.30 is: 64,998.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,728.90 : 124,144.65 = 43,314.30 : x
  2. Step 2: Convert to fraction form
    82,728.90/124,144.65 = 43,314.30/x
  3. Step 3: Cross multiply
    82,728.90x = 124,144.65 × 43,314.30
  4. Step 4: Simplify right side
    82,728.90x = 5,377,238,613.50
  5. Step 5: Solve for x
    x = 5,377,238,613.50/82,728.90
  6. Step 6: Final answer
    x = 64,998.31

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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.