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Finding the Fourth Proportional to 31,498.47, 43,474.19 and 18,078.80

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Solution

The fourth proportional to 31,498.47, 43,474.19 and 18,078.80 is: 24,952.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,498.47 : 43,474.19 = 18,078.80 : x
  2. Step 2: Convert to fraction form
    31,498.47/43,474.19 = 18,078.80/x
  3. Step 3: Cross multiply
    31,498.47x = 43,474.19 × 18,078.80
  4. Step 4: Simplify right side
    31,498.47x = 785,960,878.41
  5. Step 5: Solve for x
    x = 785,960,878.41/31,498.47
  6. Step 6: Final answer
    x = 24,952.35

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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.