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Finding the Fourth Proportional to 32,782.86, 49,194 and 11,721.24

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Solution

The fourth proportional to 32,782.86, 49,194 and 11,721.24 is: 17,588.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,782.86 : 49,194 = 11,721.24 : x
  2. Step 2: Convert to fraction form
    32,782.86/49,194 = 11,721.24/x
  3. Step 3: Cross multiply
    32,782.86x = 49,194 × 11,721.24
  4. Step 4: Simplify right side
    32,782.86x = 576,614,680.56
  5. Step 5: Solve for x
    x = 576,614,680.56/32,782.86
  6. Step 6: Final answer
    x = 17,588.91

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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.