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Finding the Fourth Proportional to 106,182.92, 159,297.44 and 32,309

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Solution

The fourth proportional to 106,182.92, 159,297.44 and 32,309 is: 48,470.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,182.92 : 159,297.44 = 32,309 : x
  2. Step 2: Convert to fraction form
    106,182.92/159,297.44 = 32,309/x
  3. Step 3: Cross multiply
    106,182.92x = 159,297.44 × 32,309
  4. Step 4: Simplify right side
    106,182.92x = 5,146,740,988.96
  5. Step 5: Solve for x
    x = 5,146,740,988.96/106,182.92
  6. Step 6: Final answer
    x = 48,470.52

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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.