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Finding the Fourth Proportional to 37,782.91, 52,122.04 and 29,341.09

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Solution

The fourth proportional to 37,782.91, 52,122.04 and 29,341.09 is: 40,476.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,782.91 : 52,122.04 = 29,341.09 : x
  2. Step 2: Convert to fraction form
    37,782.91/52,122.04 = 29,341.09/x
  3. Step 3: Cross multiply
    37,782.91x = 52,122.04 × 29,341.09
  4. Step 4: Simplify right side
    37,782.91x = 1,529,317,466.62
  5. Step 5: Solve for x
    x = 1,529,317,466.62/37,782.91
  6. Step 6: Final answer
    x = 40,476.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.