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Finding the Fourth Proportional to 29,245.70, 43,842 and 15,189.28

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Solution

The fourth proportional to 29,245.70, 43,842 and 15,189.28 is: 22,770.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,245.70 : 43,842 = 15,189.28 : x
  2. Step 2: Convert to fraction form
    29,245.70/43,842 = 15,189.28/x
  3. Step 3: Cross multiply
    29,245.70x = 43,842 × 15,189.28
  4. Step 4: Simplify right side
    29,245.70x = 665,928,413.76
  5. Step 5: Solve for x
    x = 665,928,413.76/29,245.70
  6. Step 6: Final answer
    x = 22,770.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.