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Finding the Fourth Proportional to 106,121, 159,182.58 and 32,249

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Solution

The fourth proportional to 106,121, 159,182.58 and 32,249 is: 48,373.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,121 : 159,182.58 = 32,249 : x
  2. Step 2: Convert to fraction form
    106,121/159,182.58 = 32,249/x
  3. Step 3: Cross multiply
    106,121x = 159,182.58 × 32,249
  4. Step 4: Simplify right side
    106,121x = 5,133,479,022.42
  5. Step 5: Solve for x
    x = 5,133,479,022.42/106,121
  6. Step 6: Final answer
    x = 48,373.83

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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.