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Finding the Fourth Proportional to 54,616.02, 75,375.78 and 33,409.40

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Solution

The fourth proportional to 54,616.02, 75,375.78 and 33,409.40 is: 46,108.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,616.02 : 75,375.78 = 33,409.40 : x
  2. Step 2: Convert to fraction form
    54,616.02/75,375.78 = 33,409.40/x
  3. Step 3: Cross multiply
    54,616.02x = 75,375.78 × 33,409.40
  4. Step 4: Simplify right side
    54,616.02x = 2,518,259,584.33
  5. Step 5: Solve for x
    x = 2,518,259,584.33/54,616.02
  6. Step 6: Final answer
    x = 46,108.44

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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.