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Finding the Fourth Proportional to 106,866.96, 160,323.32 and 31,992.88

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Solution

The fourth proportional to 106,866.96, 160,323.32 and 31,992.88 is: 47,996.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,866.96 : 160,323.32 = 31,992.88 : x
  2. Step 2: Convert to fraction form
    106,866.96/160,323.32 = 31,992.88/x
  3. Step 3: Cross multiply
    106,866.96x = 160,323.32 × 31,992.88
  4. Step 4: Simplify right side
    106,866.96x = 5,129,204,737.96
  5. Step 5: Solve for x
    x = 5,129,204,737.96/106,866.96
  6. Step 6: Final answer
    x = 47,996.17

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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.