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Finding the Fourth Proportional to 67,046.78, 100,583.15 and 22,680.77

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Solution

The fourth proportional to 67,046.78, 100,583.15 and 22,680.77 is: 34,025.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,046.78 : 100,583.15 = 22,680.77 : x
  2. Step 2: Convert to fraction form
    67,046.78/100,583.15 = 22,680.77/x
  3. Step 3: Cross multiply
    67,046.78x = 100,583.15 × 22,680.77
  4. Step 4: Simplify right side
    67,046.78x = 2,281,302,674.71
  5. Step 5: Solve for x
    x = 2,281,302,674.71/67,046.78
  6. Step 6: Final answer
    x = 34,025.54

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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.