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Finding the Fourth Proportional to 31,200.58, 43,067.08 and 24,838.84

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Solution

The fourth proportional to 31,200.58, 43,067.08 and 24,838.84 is: 34,285.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,200.58 : 43,067.08 = 24,838.84 : x
  2. Step 2: Convert to fraction form
    31,200.58/43,067.08 = 24,838.84/x
  3. Step 3: Cross multiply
    31,200.58x = 43,067.08 × 24,838.84
  4. Step 4: Simplify right side
    31,200.58x = 1,069,736,309.39
  5. Step 5: Solve for x
    x = 1,069,736,309.39/31,200.58
  6. Step 6: Final answer
    x = 34,285.78

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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.