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Finding the Fourth Proportional to 31,478.44, 43,436.64 and 18,046

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Solution

The fourth proportional to 31,478.44, 43,436.64 and 18,046 is: 24,901.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,478.44 : 43,436.64 = 18,046 : x
  2. Step 2: Convert to fraction form
    31,478.44/43,436.64 = 18,046/x
  3. Step 3: Cross multiply
    31,478.44x = 43,436.64 × 18,046
  4. Step 4: Simplify right side
    31,478.44x = 783,857,605.44
  5. Step 5: Solve for x
    x = 783,857,605.44/31,478.44
  6. Step 6: Final answer
    x = 24,901.41

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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.