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Finding the Fourth Proportional to 48,978.17, 73,409.84 and 22,627.55

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Solution

The fourth proportional to 48,978.17, 73,409.84 and 22,627.55 is: 33,914.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,978.17 : 73,409.84 = 22,627.55 : x
  2. Step 2: Convert to fraction form
    48,978.17/73,409.84 = 22,627.55/x
  3. Step 3: Cross multiply
    48,978.17x = 73,409.84 × 22,627.55
  4. Step 4: Simplify right side
    48,978.17x = 1,661,085,107.61
  5. Step 5: Solve for x
    x = 1,661,085,107.61/48,978.17
  6. Step 6: Final answer
    x = 33,914.81

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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.