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Finding the Fourth Proportional to 32,682.24, 45,101.52 and 17,778.24

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Solution

The fourth proportional to 32,682.24, 45,101.52 and 17,778.24 is: 24,533.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,682.24 : 45,101.52 = 17,778.24 : x
  2. Step 2: Convert to fraction form
    32,682.24/45,101.52 = 17,778.24/x
  3. Step 3: Cross multiply
    32,682.24x = 45,101.52 × 17,778.24
  4. Step 4: Simplify right side
    32,682.24x = 801,825,646.92
  5. Step 5: Solve for x
    x = 801,825,646.92/32,682.24
  6. Step 6: Final answer
    x = 24,533.99

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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.