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Finding the Fourth Proportional to 5,161,469.21, 7,741,703.54 and 1,567,267.75

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Solution

The fourth proportional to 5,161,469.21, 7,741,703.54 and 1,567,267.75 is: 2,350,749.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161,469.21 : 7,741,703.54 = 1,567,267.75 : x
  2. Step 2: Convert to fraction form
    5,161,469.21/7,741,703.54 = 1,567,267.75/x
  3. Step 3: Cross multiply
    5,161,469.21x = 7,741,703.54 × 1,567,267.75
  4. Step 4: Simplify right side
    5,161,469.21x = 12,133,322,293,082.25
  5. Step 5: Solve for x
    x = 12,133,322,293,082.25/5,161,469.21
  6. Step 6: Final answer
    x = 2,350,749.72

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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.