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Finding the Fourth Proportional to 31,723.07, 43,758.03 and 20,407.32

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Solution

The fourth proportional to 31,723.07, 43,758.03 and 20,407.32 is: 28,149.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,723.07 : 43,758.03 = 20,407.32 : x
  2. Step 2: Convert to fraction form
    31,723.07/43,758.03 = 20,407.32/x
  3. Step 3: Cross multiply
    31,723.07x = 43,758.03 × 20,407.32
  4. Step 4: Simplify right side
    31,723.07x = 892,983,901.99
  5. Step 5: Solve for x
    x = 892,983,901.99/31,723.07
  6. Step 6: Final answer
    x = 28,149.35

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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.