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Finding the Fourth Proportional to 106,043.78, 146,343.22 and 57,648.97

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Solution

The fourth proportional to 106,043.78, 146,343.22 and 57,648.97 is: 79,557.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,043.78 : 146,343.22 = 57,648.97 : x
  2. Step 2: Convert to fraction form
    106,043.78/146,343.22 = 57,648.97/x
  3. Step 3: Cross multiply
    106,043.78x = 146,343.22 × 57,648.97
  4. Step 4: Simplify right side
    106,043.78x = 8,436,535,389.50
  5. Step 5: Solve for x
    x = 8,436,535,389.50/106,043.78
  6. Step 6: Final answer
    x = 79,557.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.