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Finding the Fourth Proportional to 31,920.68, 44,005.20 and 22,965.32

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Solution

The fourth proportional to 31,920.68, 44,005.20 and 22,965.32 is: 31,659.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,920.68 : 44,005.20 = 22,965.32 : x
  2. Step 2: Convert to fraction form
    31,920.68/44,005.20 = 22,965.32/x
  3. Step 3: Cross multiply
    31,920.68x = 44,005.20 × 22,965.32
  4. Step 4: Simplify right side
    31,920.68x = 1,010,593,499.66
  5. Step 5: Solve for x
    x = 1,010,593,499.66/31,920.68
  6. Step 6: Final answer
    x = 31,659.52

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1.5x scale

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.