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Finding the Fourth Proportional to 106,487.76, 146,961.36 and 58,745.28

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Solution

The fourth proportional to 106,487.76, 146,961.36 and 58,745.28 is: 81,073.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,487.76 : 146,961.36 = 58,745.28 : x
  2. Step 2: Convert to fraction form
    106,487.76/146,961.36 = 58,745.28/x
  3. Step 3: Cross multiply
    106,487.76x = 146,961.36 × 58,745.28
  4. Step 4: Simplify right side
    106,487.76x = 8,633,286,242.38
  5. Step 5: Solve for x
    x = 8,633,286,242.38/106,487.76
  6. Step 6: Final answer
    x = 81,073.04

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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.