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Finding the Fourth Proportional to 34,657.31, 47,834.49 and 21,902.37

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Solution

The fourth proportional to 34,657.31, 47,834.49 and 21,902.37 is: 30,229.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,657.31 : 47,834.49 = 21,902.37 : x
  2. Step 2: Convert to fraction form
    34,657.31/47,834.49 = 21,902.37/x
  3. Step 3: Cross multiply
    34,657.31x = 47,834.49 × 21,902.37
  4. Step 4: Simplify right side
    34,657.31x = 1,047,688,698.74
  5. Step 5: Solve for x
    x = 1,047,688,698.74/34,657.31
  6. Step 6: Final answer
    x = 30,229.95

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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.