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Finding the Fourth Proportional to 67,189.50, 100,802.48 and 20,442.38

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Solution

The fourth proportional to 67,189.50, 100,802.48 and 20,442.38 is: 30,669.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,189.50 : 100,802.48 = 20,442.38 : x
  2. Step 2: Convert to fraction form
    67,189.50/100,802.48 = 20,442.38/x
  3. Step 3: Cross multiply
    67,189.50x = 100,802.48 × 20,442.38
  4. Step 4: Simplify right side
    67,189.50x = 2,060,641,994.88
  5. Step 5: Solve for x
    x = 2,060,641,994.88/67,189.50
  6. Step 6: Final answer
    x = 30,669.11

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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.