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Finding the Fourth Proportional to 23,842.50, 35,752.17 and 7,199.34

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Solution

The fourth proportional to 23,842.50, 35,752.17 and 7,199.34 is: 10,795.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,842.50 : 35,752.17 = 7,199.34 : x
  2. Step 2: Convert to fraction form
    23,842.50/35,752.17 = 7,199.34/x
  3. Step 3: Cross multiply
    23,842.50x = 35,752.17 × 7,199.34
  4. Step 4: Simplify right side
    23,842.50x = 257,392,027.57
  5. Step 5: Solve for x
    x = 257,392,027.57/23,842.50
  6. Step 6: Final answer
    x = 10,795.51

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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.