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Finding the Fourth Proportional to 77,226.44, 106,581.47 and 47,029.46

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Solution

The fourth proportional to 77,226.44, 106,581.47 and 47,029.46 is: 64,906.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,226.44 : 106,581.47 = 47,029.46 : x
  2. Step 2: Convert to fraction form
    77,226.44/106,581.47 = 47,029.46/x
  3. Step 3: Cross multiply
    77,226.44x = 106,581.47 × 47,029.46
  4. Step 4: Simplify right side
    77,226.44x = 5,012,468,212.05
  5. Step 5: Solve for x
    x = 5,012,468,212.05/77,226.44
  6. Step 6: Final answer
    x = 64,906.12

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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.