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Finding the Fourth Proportional to 106,049.70, 146,347.01 and 57,650.02

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Solution

The fourth proportional to 106,049.70, 146,347.01 and 57,650.02 is: 79,556.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,049.70 : 146,347.01 = 57,650.02 : x
  2. Step 2: Convert to fraction form
    106,049.70/146,347.01 = 57,650.02/x
  3. Step 3: Cross multiply
    106,049.70x = 146,347.01 × 57,650.02
  4. Step 4: Simplify right side
    106,049.70x = 8,436,908,053.44
  5. Step 5: Solve for x
    x = 8,436,908,053.44/106,049.70
  6. Step 6: Final answer
    x = 79,556.17

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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.