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Finding the Fourth Proportional to 67,126.34, 100,678.57 and 20,379.22

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Solution

The fourth proportional to 67,126.34, 100,678.57 and 20,379.22 is: 30,565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,126.34 : 100,678.57 = 20,379.22 : x
  2. Step 2: Convert to fraction form
    67,126.34/100,678.57 = 20,379.22/x
  3. Step 3: Cross multiply
    67,126.34x = 100,678.57 × 20,379.22
  4. Step 4: Simplify right side
    67,126.34x = 2,051,750,424.67
  5. Step 5: Solve for x
    x = 2,051,750,424.67/67,126.34
  6. Step 6: Final answer
    x = 30,565.50

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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.