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Finding the Fourth Proportional to 31,567.36, 43,523.57 and 20,218.22

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Solution

The fourth proportional to 31,567.36, 43,523.57 and 20,218.22 is: 27,875.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,567.36 : 43,523.57 = 20,218.22 : x
  2. Step 2: Convert to fraction form
    31,567.36/43,523.57 = 20,218.22/x
  3. Step 3: Cross multiply
    31,567.36x = 43,523.57 × 20,218.22
  4. Step 4: Simplify right side
    31,567.36x = 879,969,113.45
  5. Step 5: Solve for x
    x = 879,969,113.45/31,567.36
  6. Step 6: Final answer
    x = 27,875.92

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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.