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Finding the Fourth Proportional to 106,637.92, 159,822.48 and 54,060.64

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Solution

The fourth proportional to 106,637.92, 159,822.48 and 54,060.64 is: 81,022.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,637.92 : 159,822.48 = 54,060.64 : x
  2. Step 2: Convert to fraction form
    106,637.92/159,822.48 = 54,060.64/x
  3. Step 3: Cross multiply
    106,637.92x = 159,822.48 × 54,060.64
  4. Step 4: Simplify right side
    106,637.92x = 8,640,105,555.19
  5. Step 5: Solve for x
    x = 8,640,105,555.19/106,637.92
  6. Step 6: Final answer
    x = 81,022.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.