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Finding the Fourth Proportional to 32,022.28, 48,035.73 and 12,300.84

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Solution

The fourth proportional to 32,022.28, 48,035.73 and 12,300.84 is: 18,452.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,022.28 : 48,035.73 = 12,300.84 : x
  2. Step 2: Convert to fraction form
    32,022.28/48,035.73 = 12,300.84/x
  3. Step 3: Cross multiply
    32,022.28x = 48,035.73 × 12,300.84
  4. Step 4: Simplify right side
    32,022.28x = 590,879,829.01
  5. Step 5: Solve for x
    x = 590,879,829.01/32,022.28
  6. Step 6: Final answer
    x = 18,452.15

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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.