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Finding the Fourth Proportional to 106,580.30, 159,873 and 50,446.58

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Solution

The fourth proportional to 106,580.30, 159,873 and 50,446.58 is: 75,671.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,580.30 : 159,873 = 50,446.58 : x
  2. Step 2: Convert to fraction form
    106,580.30/159,873 = 50,446.58/x
  3. Step 3: Cross multiply
    106,580.30x = 159,873 × 50,446.58
  4. Step 4: Simplify right side
    106,580.30x = 8,065,046,084.34
  5. Step 5: Solve for x
    x = 8,065,046,084.34/106,580.30
  6. Step 6: Final answer
    x = 75,671.08

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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.