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Finding the Fourth Proportional to 31,034.32, 46,554.21 and 9,976.24

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Solution

The fourth proportional to 31,034.32, 46,554.21 and 9,976.24 is: 14,965.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,034.32 : 46,554.21 = 9,976.24 : x
  2. Step 2: Convert to fraction form
    31,034.32/46,554.21 = 9,976.24/x
  3. Step 3: Cross multiply
    31,034.32x = 46,554.21 × 9,976.24
  4. Step 4: Simplify right side
    31,034.32x = 464,435,971.97
  5. Step 5: Solve for x
    x = 464,435,971.97/31,034.32
  6. Step 6: Final answer
    x = 14,965.24

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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.