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Finding the Fourth Proportional to 31,722.64, 43,775.52 and 17,574.64

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Solution

The fourth proportional to 31,722.64, 43,775.52 and 17,574.64 is: 24,252.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,722.64 : 43,775.52 = 17,574.64 : x
  2. Step 2: Convert to fraction form
    31,722.64/43,775.52 = 17,574.64/x
  3. Step 3: Cross multiply
    31,722.64x = 43,775.52 × 17,574.64
  4. Step 4: Simplify right side
    31,722.64x = 769,339,004.81
  5. Step 5: Solve for x
    x = 769,339,004.81/31,722.64
  6. Step 6: Final answer
    x = 24,252.05

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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.