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Finding the Fourth Proportional to 32,145.62, 48,022.92 and 20,808.59

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Solution

The fourth proportional to 32,145.62, 48,022.92 and 20,808.59 is: 31,086.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,145.62 : 48,022.92 = 20,808.59 : x
  2. Step 2: Convert to fraction form
    32,145.62/48,022.92 = 20,808.59/x
  3. Step 3: Cross multiply
    32,145.62x = 48,022.92 × 20,808.59
  4. Step 4: Simplify right side
    32,145.62x = 999,289,012.77
  5. Step 5: Solve for x
    x = 999,289,012.77/32,145.62
  6. Step 6: Final answer
    x = 31,086.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.