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Finding the Fourth Proportional to 106,116, 159,175.08 and 32,244

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Solution

The fourth proportional to 106,116, 159,175.08 and 32,244 is: 48,366.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,116 : 159,175.08 = 32,244 : x
  2. Step 2: Convert to fraction form
    106,116/159,175.08 = 32,244/x
  3. Step 3: Cross multiply
    106,116x = 159,175.08 × 32,244
  4. Step 4: Simplify right side
    106,116x = 5,132,441,279.52
  5. Step 5: Solve for x
    x = 5,132,441,279.52/106,116
  6. Step 6: Final answer
    x = 48,366.33

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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.