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Finding the Fourth Proportional to 73,482.57, 101,408.09 and 41,650.47

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Solution

The fourth proportional to 73,482.57, 101,408.09 and 41,650.47 is: 57,478.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,482.57 : 101,408.09 = 41,650.47 : x
  2. Step 2: Convert to fraction form
    73,482.57/101,408.09 = 41,650.47/x
  3. Step 3: Cross multiply
    73,482.57x = 101,408.09 × 41,650.47
  4. Step 4: Simplify right side
    73,482.57x = 4,223,694,402.05
  5. Step 5: Solve for x
    x = 4,223,694,402.05/73,482.57
  6. Step 6: Final answer
    x = 57,478.86

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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.