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Finding the Fourth Proportional to 40,842.20, 61,255.20 and 19,782.20

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Solution

The fourth proportional to 40,842.20, 61,255.20 and 19,782.20 is: 29,669.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,842.20 : 61,255.20 = 19,782.20 : x
  2. Step 2: Convert to fraction form
    40,842.20/61,255.20 = 19,782.20/x
  3. Step 3: Cross multiply
    40,842.20x = 61,255.20 × 19,782.20
  4. Step 4: Simplify right side
    40,842.20x = 1,211,762,617.44
  5. Step 5: Solve for x
    x = 1,211,762,617.44/40,842.20
  6. Step 6: Final answer
    x = 29,669.38

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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.