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Finding the Fourth Proportional to 106,298.48, 159,338.32 and 47,162

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Solution

The fourth proportional to 106,298.48, 159,338.32 and 47,162 is: 70,694.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,298.48 : 159,338.32 = 47,162 : x
  2. Step 2: Convert to fraction form
    106,298.48/159,338.32 = 47,162/x
  3. Step 3: Cross multiply
    106,298.48x = 159,338.32 × 47,162
  4. Step 4: Simplify right side
    106,298.48x = 7,514,713,847.84
  5. Step 5: Solve for x
    x = 7,514,713,847.84/106,298.48
  6. Step 6: Final answer
    x = 70,694.46

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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.