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Finding the Fourth Proportional to 31,329.40, 46,998.57 and 10,264.94

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Solution

The fourth proportional to 31,329.40, 46,998.57 and 10,264.94 is: 15,398.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,329.40 : 46,998.57 = 10,264.94 : x
  2. Step 2: Convert to fraction form
    31,329.40/46,998.57 = 10,264.94/x
  3. Step 3: Cross multiply
    31,329.40x = 46,998.57 × 10,264.94
  4. Step 4: Simplify right side
    31,329.40x = 482,437,266.14
  5. Step 5: Solve for x
    x = 482,437,266.14/31,329.40
  6. Step 6: Final answer
    x = 15,398.87

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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.