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Finding the Fourth Proportional to 106,231.78, 159,347.64 and 32,359.78

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Solution

The fourth proportional to 106,231.78, 159,347.64 and 32,359.78 is: 48,539.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,231.78 : 159,347.64 = 32,359.78 : x
  2. Step 2: Convert to fraction form
    106,231.78/159,347.64 = 32,359.78/x
  3. Step 3: Cross multiply
    106,231.78x = 159,347.64 × 32,359.78
  4. Step 4: Simplify right side
    106,231.78x = 5,156,454,573.92
  5. Step 5: Solve for x
    x = 5,156,454,573.92/106,231.78
  6. Step 6: Final answer
    x = 48,539.66

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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.