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Finding the Fourth Proportional to 51,050.50, 70,439.36 and 29,825.66

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Solution

The fourth proportional to 51,050.50, 70,439.36 and 29,825.66 is: 41,153.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,050.50 : 70,439.36 = 29,825.66 : x
  2. Step 2: Convert to fraction form
    51,050.50/70,439.36 = 29,825.66/x
  3. Step 3: Cross multiply
    51,050.50x = 70,439.36 × 29,825.66
  4. Step 4: Simplify right side
    51,050.50x = 2,100,900,401.98
  5. Step 5: Solve for x
    x = 2,100,900,401.98/51,050.50
  6. Step 6: Final answer
    x = 41,153.38

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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.