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Finding the Fourth Proportional to 83,968.10, 125,842.80 and 34,007.30

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Solution

The fourth proportional to 83,968.10, 125,842.80 and 34,007.30 is: 50,966.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,968.10 : 125,842.80 = 34,007.30 : x
  2. Step 2: Convert to fraction form
    83,968.10/125,842.80 = 34,007.30/x
  3. Step 3: Cross multiply
    83,968.10x = 125,842.80 × 34,007.30
  4. Step 4: Simplify right side
    83,968.10x = 4,279,573,852.44
  5. Step 5: Solve for x
    x = 4,279,573,852.44/83,968.10
  6. Step 6: Final answer
    x = 50,966.66

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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.