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Finding the Fourth Proportional to 76,713.84, 115,086.42 and 32,340.60

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Solution

The fourth proportional to 76,713.84, 115,086.42 and 32,340.60 is: 48,517.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,713.84 : 115,086.42 = 32,340.60 : x
  2. Step 2: Convert to fraction form
    76,713.84/115,086.42 = 32,340.60/x
  3. Step 3: Cross multiply
    76,713.84x = 115,086.42 × 32,340.60
  4. Step 4: Simplify right side
    76,713.84x = 3,721,963,874.65
  5. Step 5: Solve for x
    x = 3,721,963,874.65/76,713.84
  6. Step 6: Final answer
    x = 48,517.50

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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.