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Finding the Fourth Proportional to 31,885.92, 44,003.16 and 17,740.08

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Solution

The fourth proportional to 31,885.92, 44,003.16 and 17,740.08 is: 24,481.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,885.92 : 44,003.16 = 17,740.08 : x
  2. Step 2: Convert to fraction form
    31,885.92/44,003.16 = 17,740.08/x
  3. Step 3: Cross multiply
    31,885.92x = 44,003.16 × 17,740.08
  4. Step 4: Simplify right side
    31,885.92x = 780,619,578.65
  5. Step 5: Solve for x
    x = 780,619,578.65/31,885.92
  6. Step 6: Final answer
    x = 24,481.64

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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.