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Finding the Fourth Proportional to 106,750.78, 160,073.85 and 35,648.98

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Solution

The fourth proportional to 106,750.78, 160,073.85 and 35,648.98 is: 53,456.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,750.78 : 160,073.85 = 35,648.98 : x
  2. Step 2: Convert to fraction form
    106,750.78/160,073.85 = 35,648.98/x
  3. Step 3: Cross multiply
    106,750.78x = 160,073.85 × 35,648.98
  4. Step 4: Simplify right side
    106,750.78x = 5,706,469,310.29
  5. Step 5: Solve for x
    x = 5,706,469,310.29/106,750.78
  6. Step 6: Final answer
    x = 53,456.00

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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.