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Finding the Fourth Proportional to 34,204.84, 47,206.74 and 20,778.28

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Solution

The fourth proportional to 34,204.84, 47,206.74 and 20,778.28 is: 28,676.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,204.84 : 47,206.74 = 20,778.28 : x
  2. Step 2: Convert to fraction form
    34,204.84/47,206.74 = 20,778.28/x
  3. Step 3: Cross multiply
    34,204.84x = 47,206.74 × 20,778.28
  4. Step 4: Simplify right side
    34,204.84x = 980,874,861.61
  5. Step 5: Solve for x
    x = 980,874,861.61/34,204.84
  6. Step 6: Final answer
    x = 28,676.49

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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.