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Finding the Fourth Proportional to 106,660.34, 159,990.52 and 27,774.34

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Solution

The fourth proportional to 106,660.34, 159,990.52 and 27,774.34 is: 41,661.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,660.34 : 159,990.52 = 27,774.34 : x
  2. Step 2: Convert to fraction form
    106,660.34/159,990.52 = 27,774.34/x
  3. Step 3: Cross multiply
    106,660.34x = 159,990.52 × 27,774.34
  4. Step 4: Simplify right side
    106,660.34x = 4,443,631,099.26
  5. Step 5: Solve for x
    x = 4,443,631,099.26/106,660.34
  6. Step 6: Final answer
    x = 41,661.51

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1.5x scale

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.