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Finding the Fourth Proportional to 73,387.57, 101,176 and 47,843.41

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Solution

The fourth proportional to 73,387.57, 101,176 and 47,843.41 is: 65,959.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,387.57 : 101,176 = 47,843.41 : x
  2. Step 2: Convert to fraction form
    73,387.57/101,176 = 47,843.41/x
  3. Step 3: Cross multiply
    73,387.57x = 101,176 × 47,843.41
  4. Step 4: Simplify right side
    73,387.57x = 4,840,604,850.16
  5. Step 5: Solve for x
    x = 4,840,604,850.16/73,387.57
  6. Step 6: Final answer
    x = 65,959.46

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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.