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Finding the Fourth Proportional to 34,204.20, 51,209.10 and 30,316.20

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Solution

The fourth proportional to 34,204.20, 51,209.10 and 30,316.20 is: 45,388.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,204.20 : 51,209.10 = 30,316.20 : x
  2. Step 2: Convert to fraction form
    34,204.20/51,209.10 = 30,316.20/x
  3. Step 3: Cross multiply
    34,204.20x = 51,209.10 × 30,316.20
  4. Step 4: Simplify right side
    34,204.20x = 1,552,465,317.42
  5. Step 5: Solve for x
    x = 1,552,465,317.42/34,204.20
  6. Step 6: Final answer
    x = 45,388.15

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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.