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Finding the Fourth Proportional to 31,811.16, 43,900.74 and 17,665.32

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Solution

The fourth proportional to 31,811.16, 43,900.74 and 17,665.32 is: 24,378.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,811.16 : 43,900.74 = 17,665.32 : x
  2. Step 2: Convert to fraction form
    31,811.16/43,900.74 = 17,665.32/x
  3. Step 3: Cross multiply
    31,811.16x = 43,900.74 × 17,665.32
  4. Step 4: Simplify right side
    31,811.16x = 775,520,620.34
  5. Step 5: Solve for x
    x = 775,520,620.34/31,811.16
  6. Step 6: Final answer
    x = 24,378.89

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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.