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Finding the Fourth Proportional to 31,720.66, 43,771.52 and 18,971.21

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Solution

The fourth proportional to 31,720.66, 43,771.52 and 18,971.21 is: 26,178.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,720.66 : 43,771.52 = 18,971.21 : x
  2. Step 2: Convert to fraction form
    31,720.66/43,771.52 = 18,971.21/x
  3. Step 3: Cross multiply
    31,720.66x = 43,771.52 × 18,971.21
  4. Step 4: Simplify right side
    31,720.66x = 830,398,479.08
  5. Step 5: Solve for x
    x = 830,398,479.08/31,720.66
  6. Step 6: Final answer
    x = 26,178.48

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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.