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Finding the Fourth Proportional to 106,493.14, 146,961.02 and 58,746.48

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Solution

The fourth proportional to 106,493.14, 146,961.02 and 58,746.48 is: 81,070.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,493.14 : 146,961.02 = 58,746.48 : x
  2. Step 2: Convert to fraction form
    106,493.14/146,961.02 = 58,746.48/x
  3. Step 3: Cross multiply
    106,493.14x = 146,961.02 × 58,746.48
  4. Step 4: Simplify right side
    106,493.14x = 8,633,442,217.97
  5. Step 5: Solve for x
    x = 8,633,442,217.97/106,493.14
  6. Step 6: Final answer
    x = 81,070.41

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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.