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Finding the Fourth Proportional to 31,015.71, 46,505.91 and 21,166.92

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Solution

The fourth proportional to 31,015.71, 46,505.91 and 21,166.92 is: 31,738.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,015.71 : 46,505.91 = 21,166.92 : x
  2. Step 2: Convert to fraction form
    31,015.71/46,505.91 = 21,166.92/x
  3. Step 3: Cross multiply
    31,015.71x = 46,505.91 × 21,166.92
  4. Step 4: Simplify right side
    31,015.71x = 984,386,876.50
  5. Step 5: Solve for x
    x = 984,386,876.50/31,015.71
  6. Step 6: Final answer
    x = 31,738.33

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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.