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Finding the Fourth Proportional to 106,490.89, 146,946.06 and 58,744.24

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Solution

The fourth proportional to 106,490.89, 146,946.06 and 58,744.24 is: 81,060.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,490.89 : 146,946.06 = 58,744.24 : x
  2. Step 2: Convert to fraction form
    106,490.89/146,946.06 = 58,744.24/x
  3. Step 3: Cross multiply
    106,490.89x = 146,946.06 × 58,744.24
  4. Step 4: Simplify right side
    106,490.89x = 8,632,234,615.69
  5. Step 5: Solve for x
    x = 8,632,234,615.69/106,490.89
  6. Step 6: Final answer
    x = 81,060.78

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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.