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Finding the Fourth Proportional to 22,068.54, 33,102 and 5,428.62

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Solution

The fourth proportional to 22,068.54, 33,102 and 5,428.62 is: 8,142.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,068.54 : 33,102 = 5,428.62 : x
  2. Step 2: Convert to fraction form
    22,068.54/33,102 = 5,428.62/x
  3. Step 3: Cross multiply
    22,068.54x = 33,102 × 5,428.62
  4. Step 4: Simplify right side
    22,068.54x = 179,698,179.24
  5. Step 5: Solve for x
    x = 179,698,179.24/22,068.54
  6. Step 6: Final answer
    x = 8,142.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.