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Finding the Fourth Proportional to 31,958.40, 44,102.16 and 17,811.84

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Solution

The fourth proportional to 31,958.40, 44,102.16 and 17,811.84 is: 24,580.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,958.40 : 44,102.16 = 17,811.84 : x
  2. Step 2: Convert to fraction form
    31,958.40/44,102.16 = 17,811.84/x
  3. Step 3: Cross multiply
    31,958.40x = 44,102.16 × 17,811.84
  4. Step 4: Simplify right side
    31,958.40x = 785,540,617.57
  5. Step 5: Solve for x
    x = 785,540,617.57/31,958.40
  6. Step 6: Final answer
    x = 24,580.10

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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.