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Finding the Fourth Proportional to 30,035, 45,052.66 and 8,147

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Solution

The fourth proportional to 30,035, 45,052.66 and 8,147 is: 12,220.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,035 : 45,052.66 = 8,147 : x
  2. Step 2: Convert to fraction form
    30,035/45,052.66 = 8,147/x
  3. Step 3: Cross multiply
    30,035x = 45,052.66 × 8,147
  4. Step 4: Simplify right side
    30,035x = 367,044,021.02
  5. Step 5: Solve for x
    x = 367,044,021.02/30,035
  6. Step 6: Final answer
    x = 12,220.54

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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.