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Finding the Fourth Proportional to 106,031.77, 146,324.89 and 57,633.92

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Solution

The fourth proportional to 106,031.77, 146,324.89 and 57,633.92 is: 79,535.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,031.77 : 146,324.89 = 57,633.92 : x
  2. Step 2: Convert to fraction form
    106,031.77/146,324.89 = 57,633.92/x
  3. Step 3: Cross multiply
    106,031.77x = 146,324.89 × 57,633.92
  4. Step 4: Simplify right side
    106,031.77x = 8,433,277,004.27
  5. Step 5: Solve for x
    x = 8,433,277,004.27/106,031.77
  6. Step 6: Final answer
    x = 79,535.38

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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.