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Finding the Fourth Proportional to 75,670.62, 104,375.43 and 47,327.10

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Solution

The fourth proportional to 75,670.62, 104,375.43 and 47,327.10 is: 65,280.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,670.62 : 104,375.43 = 47,327.10 : x
  2. Step 2: Convert to fraction form
    75,670.62/104,375.43 = 47,327.10/x
  3. Step 3: Cross multiply
    75,670.62x = 104,375.43 × 47,327.10
  4. Step 4: Simplify right side
    75,670.62x = 4,939,786,413.15
  5. Step 5: Solve for x
    x = 4,939,786,413.15/75,670.62
  6. Step 6: Final answer
    x = 65,280.11

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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.