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Finding the Fourth Proportional to 31,794.40, 43,876.32 and 17,646.88

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Solution

The fourth proportional to 31,794.40, 43,876.32 and 17,646.88 is: 24,352.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,794.40 : 43,876.32 = 17,646.88 : x
  2. Step 2: Convert to fraction form
    31,794.40/43,876.32 = 17,646.88/x
  3. Step 3: Cross multiply
    31,794.40x = 43,876.32 × 17,646.88
  4. Step 4: Simplify right side
    31,794.40x = 774,280,153.88
  5. Step 5: Solve for x
    x = 774,280,153.88/31,794.40
  6. Step 6: Final answer
    x = 24,352.72

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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.