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Finding the Fourth Proportional to 109,932, 164,889.72 and 35,049.12

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Solution

The fourth proportional to 109,932, 164,889.72 and 35,049.12 is: 52,571.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,932 : 164,889.72 = 35,049.12 : x
  2. Step 2: Convert to fraction form
    109,932/164,889.72 = 35,049.12/x
  3. Step 3: Cross multiply
    109,932x = 164,889.72 × 35,049.12
  4. Step 4: Simplify right side
    109,932x = 5,779,239,583.05
  5. Step 5: Solve for x
    x = 5,779,239,583.05/109,932
  6. Step 6: Final answer
    x = 52,571.04

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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.