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Finding the Fourth Proportional to 31,074.54, 42,869.98 and 17,634.74

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Solution

The fourth proportional to 31,074.54, 42,869.98 and 17,634.74 is: 24,328.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,074.54 : 42,869.98 = 17,634.74 : x
  2. Step 2: Convert to fraction form
    31,074.54/42,869.98 = 17,634.74/x
  3. Step 3: Cross multiply
    31,074.54x = 42,869.98 × 17,634.74
  4. Step 4: Simplify right side
    31,074.54x = 756,000,928.97
  5. Step 5: Solve for x
    x = 756,000,928.97/31,074.54
  6. Step 6: Final answer
    x = 24,328.63

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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.