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Finding the Fourth Proportional to 30,209.48, 45,316.62 and 8,022.28

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Solution

The fourth proportional to 30,209.48, 45,316.62 and 8,022.28 is: 12,034.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,209.48 : 45,316.62 = 8,022.28 : x
  2. Step 2: Convert to fraction form
    30,209.48/45,316.62 = 8,022.28/x
  3. Step 3: Cross multiply
    30,209.48x = 45,316.62 × 8,022.28
  4. Step 4: Simplify right side
    30,209.48x = 363,542,614.29
  5. Step 5: Solve for x
    x = 363,542,614.29/30,209.48
  6. Step 6: Final answer
    x = 12,034.06

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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.