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Finding the Fourth Proportional to 119,673, 179,509.50 and 32,121

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Solution

The fourth proportional to 119,673, 179,509.50 and 32,121 is: 48,181.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,673 : 179,509.50 = 32,121 : x
  2. Step 2: Convert to fraction form
    119,673/179,509.50 = 32,121/x
  3. Step 3: Cross multiply
    119,673x = 179,509.50 × 32,121
  4. Step 4: Simplify right side
    119,673x = 5,766,024,649.50
  5. Step 5: Solve for x
    x = 5,766,024,649.50/119,673
  6. Step 6: Final answer
    x = 48,181.50

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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.