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Finding the Fourth Proportional to 67,957.38, 93,768.84 and 41,096.16

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Solution

The fourth proportional to 67,957.38, 93,768.84 and 41,096.16 is: 56,705.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,957.38 : 93,768.84 = 41,096.16 : x
  2. Step 2: Convert to fraction form
    67,957.38/93,768.84 = 41,096.16/x
  3. Step 3: Cross multiply
    67,957.38x = 93,768.84 × 41,096.16
  4. Step 4: Simplify right side
    67,957.38x = 3,853,539,251.65
  5. Step 5: Solve for x
    x = 3,853,539,251.65/67,957.38
  6. Step 6: Final answer
    x = 56,705.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.