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Finding the Fourth Proportional to 34,019.60, 51,029.40 and 20,195.60

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Solution

The fourth proportional to 34,019.60, 51,029.40 and 20,195.60 is: 30,293.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,019.60 : 51,029.40 = 20,195.60 : x
  2. Step 2: Convert to fraction form
    34,019.60/51,029.40 = 20,195.60/x
  3. Step 3: Cross multiply
    34,019.60x = 51,029.40 × 20,195.60
  4. Step 4: Simplify right side
    34,019.60x = 1,030,569,350.64
  5. Step 5: Solve for x
    x = 1,030,569,350.64/34,019.60
  6. Step 6: Final answer
    x = 30,293.40

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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.