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Finding the Fourth Proportional to 54,798.60, 82,200.78 and 17,362.62

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Solution

The fourth proportional to 54,798.60, 82,200.78 and 17,362.62 is: 26,044.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,798.60 : 82,200.78 = 17,362.62 : x
  2. Step 2: Convert to fraction form
    54,798.60/82,200.78 = 17,362.62/x
  3. Step 3: Cross multiply
    54,798.60x = 82,200.78 × 17,362.62
  4. Step 4: Simplify right side
    54,798.60x = 1,427,220,906.84
  5. Step 5: Solve for x
    x = 1,427,220,906.84/54,798.60
  6. Step 6: Final answer
    x = 26,044.84

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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.