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Finding the Fourth Proportional to 34,219.60, 51,280.80 and 23,819.20

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Solution

The fourth proportional to 34,219.60, 51,280.80 and 23,819.20 is: 35,694.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,219.60 : 51,280.80 = 23,819.20 : x
  2. Step 2: Convert to fraction form
    34,219.60/51,280.80 = 23,819.20/x
  3. Step 3: Cross multiply
    34,219.60x = 51,280.80 × 23,819.20
  4. Step 4: Simplify right side
    34,219.60x = 1,221,467,631.36
  5. Step 5: Solve for x
    x = 1,221,467,631.36/34,219.60
  6. Step 6: Final answer
    x = 35,694.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.