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Finding the Fourth Proportional to 31,166.71, 46,772.61 and 12,194.14

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Solution

The fourth proportional to 31,166.71, 46,772.61 and 12,194.14 is: 18,300.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,166.71 : 46,772.61 = 12,194.14 : x
  2. Step 2: Convert to fraction form
    31,166.71/46,772.61 = 12,194.14/x
  3. Step 3: Cross multiply
    31,166.71x = 46,772.61 × 12,194.14
  4. Step 4: Simplify right side
    31,166.71x = 570,351,754.51
  5. Step 5: Solve for x
    x = 570,351,754.51/31,166.71
  6. Step 6: Final answer
    x = 18,300.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.