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Finding the Fourth Proportional to 34,414.87, 47,486.76 and 20,270.51

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Solution

The fourth proportional to 34,414.87, 47,486.76 and 20,270.51 is: 27,969.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,414.87 : 47,486.76 = 20,270.51 : x
  2. Step 2: Convert to fraction form
    34,414.87/47,486.76 = 20,270.51/x
  3. Step 3: Cross multiply
    34,414.87x = 47,486.76 × 20,270.51
  4. Step 4: Simplify right side
    34,414.87x = 962,580,843.45
  5. Step 5: Solve for x
    x = 962,580,843.45/34,414.87
  6. Step 6: Final answer
    x = 27,969.91

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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.