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Finding the Fourth Proportional to 34,228.57, 51,359.10 and 23,714.77

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Solution

The fourth proportional to 34,228.57, 51,359.10 and 23,714.77 is: 35,583.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,228.57 : 51,359.10 = 23,714.77 : x
  2. Step 2: Convert to fraction form
    34,228.57/51,359.10 = 23,714.77/x
  3. Step 3: Cross multiply
    34,228.57x = 51,359.10 × 23,714.77
  4. Step 4: Simplify right side
    34,228.57x = 1,217,969,243.91
  5. Step 5: Solve for x
    x = 1,217,969,243.91/34,228.57
  6. Step 6: Final answer
    x = 35,583.41

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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.