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Finding the Fourth Proportional to 32,803.66, 45,216.66 and 22,174.84

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Solution

The fourth proportional to 32,803.66, 45,216.66 and 22,174.84 is: 30,565.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,803.66 : 45,216.66 = 22,174.84 : x
  2. Step 2: Convert to fraction form
    32,803.66/45,216.66 = 22,174.84/x
  3. Step 3: Cross multiply
    32,803.66x = 45,216.66 × 22,174.84
  4. Step 4: Simplify right side
    32,803.66x = 1,002,672,200.83
  5. Step 5: Solve for x
    x = 1,002,672,200.83/32,803.66
  6. Step 6: Final answer
    x = 30,565.86

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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.