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Finding the Fourth Proportional to 31,049.52, 46,559.16 and 10,266

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Solution

The fourth proportional to 31,049.52, 46,559.16 and 10,266 is: 15,394.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,049.52 : 46,559.16 = 10,266 : x
  2. Step 2: Convert to fraction form
    31,049.52/46,559.16 = 10,266/x
  3. Step 3: Cross multiply
    31,049.52x = 46,559.16 × 10,266
  4. Step 4: Simplify right side
    31,049.52x = 477,976,336.56
  5. Step 5: Solve for x
    x = 477,976,336.56/31,049.52
  6. Step 6: Final answer
    x = 15,394.00

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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.