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Finding the Fourth Proportional to 31,280.28, 46,920.72 and 7,906.71

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Solution

The fourth proportional to 31,280.28, 46,920.72 and 7,906.71 is: 11,860.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,280.28 : 46,920.72 = 7,906.71 : x
  2. Step 2: Convert to fraction form
    31,280.28/46,920.72 = 7,906.71/x
  3. Step 3: Cross multiply
    31,280.28x = 46,920.72 × 7,906.71
  4. Step 4: Simplify right side
    31,280.28x = 370,988,526.03
  5. Step 5: Solve for x
    x = 370,988,526.03/31,280.28
  6. Step 6: Final answer
    x = 11,860.14

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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.