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Finding the Fourth Proportional to 29,777.49, 41,089.86 and 17,840.52

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Solution

The fourth proportional to 29,777.49, 41,089.86 and 17,840.52 is: 24,618.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,777.49 : 41,089.86 = 17,840.52 : x
  2. Step 2: Convert to fraction form
    29,777.49/41,089.86 = 17,840.52/x
  3. Step 3: Cross multiply
    29,777.49x = 41,089.86 × 17,840.52
  4. Step 4: Simplify right side
    29,777.49x = 733,064,469.13
  5. Step 5: Solve for x
    x = 733,064,469.13/29,777.49
  6. Step 6: Final answer
    x = 24,618.07

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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.