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Finding the Fourth Proportional to 105,873.08, 158,801.92 and 34,794.87

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Solution

The fourth proportional to 105,873.08, 158,801.92 and 34,794.87 is: 52,189.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,873.08 : 158,801.92 = 34,794.87 : x
  2. Step 2: Convert to fraction form
    105,873.08/158,801.92 = 34,794.87/x
  3. Step 3: Cross multiply
    105,873.08x = 158,801.92 × 34,794.87
  4. Step 4: Simplify right side
    105,873.08x = 5,525,491,479.66
  5. Step 5: Solve for x
    x = 5,525,491,479.66/105,873.08
  6. Step 6: Final answer
    x = 52,189.77

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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.