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Finding the Fourth Proportional to 106,384.62, 159,559.65 and 50,224.62

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Solution

The fourth proportional to 106,384.62, 159,559.65 and 50,224.62 is: 75,328.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,384.62 : 159,559.65 = 50,224.62 : x
  2. Step 2: Convert to fraction form
    106,384.62/159,559.65 = 50,224.62/x
  3. Step 3: Cross multiply
    106,384.62x = 159,559.65 × 50,224.62
  4. Step 4: Simplify right side
    106,384.62x = 8,013,822,788.58
  5. Step 5: Solve for x
    x = 8,013,822,788.58/106,384.62
  6. Step 6: Final answer
    x = 75,328.77

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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.