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Finding the Fourth Proportional to 34,231.20, 51,433.20 and 30,429.60

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Solution

The fourth proportional to 34,231.20, 51,433.20 and 30,429.60 is: 45,721.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,231.20 : 51,433.20 = 30,429.60 : x
  2. Step 2: Convert to fraction form
    34,231.20/51,433.20 = 30,429.60/x
  3. Step 3: Cross multiply
    34,231.20x = 51,433.20 × 30,429.60
  4. Step 4: Simplify right side
    34,231.20x = 1,565,091,702.72
  5. Step 5: Solve for x
    x = 1,565,091,702.72/34,231.20
  6. Step 6: Final answer
    x = 45,721.20

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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.