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Finding the Fourth Proportional to 31,286.99, 46,934.40 and 10,229.15

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Solution

The fourth proportional to 31,286.99, 46,934.40 and 10,229.15 is: 15,345.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,286.99 : 46,934.40 = 10,229.15 : x
  2. Step 2: Convert to fraction form
    31,286.99/46,934.40 = 10,229.15/x
  3. Step 3: Cross multiply
    31,286.99x = 46,934.40 × 10,229.15
  4. Step 4: Simplify right side
    31,286.99x = 480,099,017.76
  5. Step 5: Solve for x
    x = 480,099,017.76/31,286.99
  6. Step 6: Final answer
    x = 15,345.00

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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.