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Finding the Fourth Proportional to 5,161,571.64, 7,741,856.82 and 1,567,369.68

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Solution

The fourth proportional to 5,161,571.64, 7,741,856.82 and 1,567,369.68 is: 2,350,902.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161,571.64 : 7,741,856.82 = 1,567,369.68 : x
  2. Step 2: Convert to fraction form
    5,161,571.64/7,741,856.82 = 1,567,369.68/x
  3. Step 3: Cross multiply
    5,161,571.64x = 7,741,856.82 × 1,567,369.68
  4. Step 4: Simplify right side
    5,161,571.64x = 12,134,351,646,569.22
  5. Step 5: Solve for x
    x = 12,134,351,646,569.22/5,161,571.64
  6. Step 6: Final answer
    x = 2,350,902.49

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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.