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Finding the Fourth Proportional to 80,970.14, 111,738.99 and 45,162.47

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Solution

The fourth proportional to 80,970.14, 111,738.99 and 45,162.47 is: 62,324.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,970.14 : 111,738.99 = 45,162.47 : x
  2. Step 2: Convert to fraction form
    80,970.14/111,738.99 = 45,162.47/x
  3. Step 3: Cross multiply
    80,970.14x = 111,738.99 × 45,162.47
  4. Step 4: Simplify right side
    80,970.14x = 5,046,408,783.71
  5. Step 5: Solve for x
    x = 5,046,408,783.71/80,970.14
  6. Step 6: Final answer
    x = 62,324.32

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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.