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Finding the Fourth Proportional to 34,015.20, 51,109.20 and 30,213.60

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Solution

The fourth proportional to 34,015.20, 51,109.20 and 30,213.60 is: 45,397.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,015.20 : 51,109.20 = 30,213.60 : x
  2. Step 2: Convert to fraction form
    34,015.20/51,109.20 = 30,213.60/x
  3. Step 3: Cross multiply
    34,015.20x = 51,109.20 × 30,213.60
  4. Step 4: Simplify right side
    34,015.20x = 1,544,192,925.12
  5. Step 5: Solve for x
    x = 1,544,192,925.12/34,015.20
  6. Step 6: Final answer
    x = 45,397.14

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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.