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Finding the Fourth Proportional to 111,828.30, 167,570.17 and 51,819.75

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Solution

The fourth proportional to 111,828.30, 167,570.17 and 51,819.75 is: 77,649.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,828.30 : 167,570.17 = 51,819.75 : x
  2. Step 2: Convert to fraction form
    111,828.30/167,570.17 = 51,819.75/x
  3. Step 3: Cross multiply
    111,828.30x = 167,570.17 × 51,819.75
  4. Step 4: Simplify right side
    111,828.30x = 8,683,444,187.31
  5. Step 5: Solve for x
    x = 8,683,444,187.31/111,828.30
  6. Step 6: Final answer
    x = 77,649.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.