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Finding the Fourth Proportional to 68,035.84, 102,027.48 and 22,432.57

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Solution

The fourth proportional to 68,035.84, 102,027.48 and 22,432.57 is: 33,640.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,035.84 : 102,027.48 = 22,432.57 : x
  2. Step 2: Convert to fraction form
    68,035.84/102,027.48 = 22,432.57/x
  3. Step 3: Cross multiply
    68,035.84x = 102,027.48 × 22,432.57
  4. Step 4: Simplify right side
    68,035.84x = 2,288,738,587.02
  5. Step 5: Solve for x
    x = 2,288,738,587.02/68,035.84
  6. Step 6: Final answer
    x = 33,640.19

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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.