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Finding the Fourth Proportional to 32,022.21, 48,035.62 and 12,300.78

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Solution

The fourth proportional to 32,022.21, 48,035.62 and 12,300.78 is: 18,452.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,022.21 : 48,035.62 = 12,300.78 : x
  2. Step 2: Convert to fraction form
    32,022.21/48,035.62 = 12,300.78/x
  3. Step 3: Cross multiply
    32,022.21x = 48,035.62 × 12,300.78
  4. Step 4: Simplify right side
    32,022.21x = 590,875,593.78
  5. Step 5: Solve for x
    x = 590,875,593.78/32,022.21
  6. Step 6: Final answer
    x = 18,452.06

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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.