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Finding the Fourth Proportional to 31,599.24, 43,588.64 and 20,421.24

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Solution

The fourth proportional to 31,599.24, 43,588.64 and 20,421.24 is: 28,169.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,599.24 : 43,588.64 = 20,421.24 : x
  2. Step 2: Convert to fraction form
    31,599.24/43,588.64 = 20,421.24/x
  3. Step 3: Cross multiply
    31,599.24x = 43,588.64 × 20,421.24
  4. Step 4: Simplify right side
    31,599.24x = 890,134,078.71
  5. Step 5: Solve for x
    x = 890,134,078.71/31,599.24
  6. Step 6: Final answer
    x = 28,169.48

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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.