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Finding the Fourth Proportional to 31,876.88, 43,991.72 and 17,730

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Solution

The fourth proportional to 31,876.88, 43,991.72 and 17,730 is: 24,468.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,876.88 : 43,991.72 = 17,730 : x
  2. Step 2: Convert to fraction form
    31,876.88/43,991.72 = 17,730/x
  3. Step 3: Cross multiply
    31,876.88x = 43,991.72 × 17,730
  4. Step 4: Simplify right side
    31,876.88x = 779,973,195.60
  5. Step 5: Solve for x
    x = 779,973,195.60/31,876.88
  6. Step 6: Final answer
    x = 24,468.30

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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.