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Finding the Fourth Proportional to 105,023.91, 157,556.37 and 33,964.20

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Solution

The fourth proportional to 105,023.91, 157,556.37 and 33,964.20 is: 50,952.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,023.91 : 157,556.37 = 33,964.20 : x
  2. Step 2: Convert to fraction form
    105,023.91/157,556.37 = 33,964.20/x
  3. Step 3: Cross multiply
    105,023.91x = 157,556.37 × 33,964.20
  4. Step 4: Simplify right side
    105,023.91x = 5,351,276,061.95
  5. Step 5: Solve for x
    x = 5,351,276,061.95/105,023.91
  6. Step 6: Final answer
    x = 50,952.93

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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.