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Finding the Fourth Proportional to 34,669.80, 47,834.82 and 22,084.20

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Solution

The fourth proportional to 34,669.80, 47,834.82 and 22,084.20 is: 30,470.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,669.80 : 47,834.82 = 22,084.20 : x
  2. Step 2: Convert to fraction form
    34,669.80/47,834.82 = 22,084.20/x
  3. Step 3: Cross multiply
    34,669.80x = 47,834.82 × 22,084.20
  4. Step 4: Simplify right side
    34,669.80x = 1,056,393,731.84
  5. Step 5: Solve for x
    x = 1,056,393,731.84/34,669.80
  6. Step 6: Final answer
    x = 30,470.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.