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Finding the Fourth Proportional to 34,255.84, 47,280.69 and 20,824.25

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Solution

The fourth proportional to 34,255.84, 47,280.69 and 20,824.25 is: 28,742.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,255.84 : 47,280.69 = 20,824.25 : x
  2. Step 2: Convert to fraction form
    34,255.84/47,280.69 = 20,824.25/x
  3. Step 3: Cross multiply
    34,255.84x = 47,280.69 × 20,824.25
  4. Step 4: Simplify right side
    34,255.84x = 984,584,804.61
  5. Step 5: Solve for x
    x = 984,584,804.61/34,255.84
  6. Step 6: Final answer
    x = 28,742.10

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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.