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Finding the Fourth Proportional to 70,519.50, 105,775.34 and 51,563.57

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Solution

The fourth proportional to 70,519.50, 105,775.34 and 51,563.57 is: 77,342.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,519.50 : 105,775.34 = 51,563.57 : x
  2. Step 2: Convert to fraction form
    70,519.50/105,775.34 = 51,563.57/x
  3. Step 3: Cross multiply
    70,519.50x = 105,775.34 × 51,563.57
  4. Step 4: Simplify right side
    70,519.50x = 5,454,153,361.67
  5. Step 5: Solve for x
    x = 5,454,153,361.67/70,519.50
  6. Step 6: Final answer
    x = 77,342.48

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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.