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Finding the Fourth Proportional to 68,632.64, 102,964.80 and 29,191.04

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Solution

The fourth proportional to 68,632.64, 102,964.80 and 29,191.04 is: 43,793.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,632.64 : 102,964.80 = 29,191.04 : x
  2. Step 2: Convert to fraction form
    68,632.64/102,964.80 = 29,191.04/x
  3. Step 3: Cross multiply
    68,632.64x = 102,964.80 × 29,191.04
  4. Step 4: Simplify right side
    68,632.64x = 3,005,649,595.39
  5. Step 5: Solve for x
    x = 3,005,649,595.39/68,632.64
  6. Step 6: Final answer
    x = 43,793.30

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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.