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Finding the Fourth Proportional to 119,953, 179,929.50 and 36,847

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Solution

The fourth proportional to 119,953, 179,929.50 and 36,847 is: 55,270.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,953 : 179,929.50 = 36,847 : x
  2. Step 2: Convert to fraction form
    119,953/179,929.50 = 36,847/x
  3. Step 3: Cross multiply
    119,953x = 179,929.50 × 36,847
  4. Step 4: Simplify right side
    119,953x = 6,629,862,286.50
  5. Step 5: Solve for x
    x = 6,629,862,286.50/119,953
  6. Step 6: Final answer
    x = 55,270.50

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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.