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Finding the Fourth Proportional to 34,978.50, 48,288.54 and 27,200.04

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Solution

The fourth proportional to 34,978.50, 48,288.54 and 27,200.04 is: 37,550.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,978.50 : 48,288.54 = 27,200.04 : x
  2. Step 2: Convert to fraction form
    34,978.50/48,288.54 = 27,200.04/x
  3. Step 3: Cross multiply
    34,978.50x = 48,288.54 × 27,200.04
  4. Step 4: Simplify right side
    34,978.50x = 1,313,450,219.54
  5. Step 5: Solve for x
    x = 1,313,450,219.54/34,978.50
  6. Step 6: Final answer
    x = 37,550.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.