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Finding the Fourth Proportional to 31,729.68, 43,783.84 and 17,582.16

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Solution

The fourth proportional to 31,729.68, 43,783.84 and 17,582.16 is: 24,261.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,729.68 : 43,783.84 = 17,582.16 : x
  2. Step 2: Convert to fraction form
    31,729.68/43,783.84 = 17,582.16/x
  3. Step 3: Cross multiply
    31,729.68x = 43,783.84 × 17,582.16
  4. Step 4: Simplify right side
    31,729.68x = 769,814,480.29
  5. Step 5: Solve for x
    x = 769,814,480.29/31,729.68
  6. Step 6: Final answer
    x = 24,261.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.