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Finding the Fourth Proportional to 78,410.68, 117,571.74 and 25,806.04

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Solution

The fourth proportional to 78,410.68, 117,571.74 and 25,806.04 is: 38,694.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,410.68 : 117,571.74 = 25,806.04 : x
  2. Step 2: Convert to fraction form
    78,410.68/117,571.74 = 25,806.04/x
  3. Step 3: Cross multiply
    78,410.68x = 117,571.74 × 25,806.04
  4. Step 4: Simplify right side
    78,410.68x = 3,034,061,025.31
  5. Step 5: Solve for x
    x = 3,034,061,025.31/78,410.68
  6. Step 6: Final answer
    x = 38,694.49

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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.