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Finding the Fourth Proportional to 68,530.20, 102,641.70 and 40,882.20

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Solution

The fourth proportional to 68,530.20, 102,641.70 and 40,882.20 is: 61,231.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,530.20 : 102,641.70 = 40,882.20 : x
  2. Step 2: Convert to fraction form
    68,530.20/102,641.70 = 40,882.20/x
  3. Step 3: Cross multiply
    68,530.20x = 102,641.70 × 40,882.20
  4. Step 4: Simplify right side
    68,530.20x = 4,196,218,507.74
  5. Step 5: Solve for x
    x = 4,196,218,507.74/68,530.20
  6. Step 6: Final answer
    x = 61,231.67

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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.