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Finding the Fourth Proportional to 31,304.81, 46,952.22 and 11,578.88

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Solution

The fourth proportional to 31,304.81, 46,952.22 and 11,578.88 is: 17,366.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,304.81 : 46,952.22 = 11,578.88 : x
  2. Step 2: Convert to fraction form
    31,304.81/46,952.22 = 11,578.88/x
  3. Step 3: Cross multiply
    31,304.81x = 46,952.22 × 11,578.88
  4. Step 4: Simplify right side
    31,304.81x = 543,654,121.11
  5. Step 5: Solve for x
    x = 543,654,121.11/31,304.81
  6. Step 6: Final answer
    x = 17,366.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.