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Finding the Fourth Proportional to 69,223.50, 103,842.54 and 31,777.20

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Solution

The fourth proportional to 69,223.50, 103,842.54 and 31,777.20 is: 47,669.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,223.50 : 103,842.54 = 31,777.20 : x
  2. Step 2: Convert to fraction form
    69,223.50/103,842.54 = 31,777.20/x
  3. Step 3: Cross multiply
    69,223.50x = 103,842.54 × 31,777.20
  4. Step 4: Simplify right side
    69,223.50x = 3,299,825,162.09
  5. Step 5: Solve for x
    x = 3,299,825,162.09/69,223.50
  6. Step 6: Final answer
    x = 47,669.15

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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.