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Finding the Fourth Proportional to 68,584.50, 102,876.78 and 29,113.94

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Solution

The fourth proportional to 68,584.50, 102,876.78 and 29,113.94 is: 43,670.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,584.50 : 102,876.78 = 29,113.94 : x
  2. Step 2: Convert to fraction form
    68,584.50/102,876.78 = 29,113.94/x
  3. Step 3: Cross multiply
    68,584.50x = 102,876.78 × 29,113.94
  4. Step 4: Simplify right side
    68,584.50x = 2,995,148,400.31
  5. Step 5: Solve for x
    x = 2,995,148,400.31/68,584.50
  6. Step 6: Final answer
    x = 43,670.92

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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.