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Finding the Fourth Proportional to 29,670.14, 40,944.84 and 16,241.40

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Solution

The fourth proportional to 29,670.14, 40,944.84 and 16,241.40 is: 22,413.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,670.14 : 40,944.84 = 16,241.40 : x
  2. Step 2: Convert to fraction form
    29,670.14/40,944.84 = 16,241.40/x
  3. Step 3: Cross multiply
    29,670.14x = 40,944.84 × 16,241.40
  4. Step 4: Simplify right side
    29,670.14x = 665,001,524.38
  5. Step 5: Solve for x
    x = 665,001,524.38/29,670.14
  6. Step 6: Final answer
    x = 22,413.16

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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.