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Finding the Fourth Proportional to 57,463.50, 86,195.31 and 15,910.50

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Solution

The fourth proportional to 57,463.50, 86,195.31 and 15,910.50 is: 23,865.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,463.50 : 86,195.31 = 15,910.50 : x
  2. Step 2: Convert to fraction form
    57,463.50/86,195.31 = 15,910.50/x
  3. Step 3: Cross multiply
    57,463.50x = 86,195.31 × 15,910.50
  4. Step 4: Simplify right side
    57,463.50x = 1,371,410,479.76
  5. Step 5: Solve for x
    x = 1,371,410,479.76/57,463.50
  6. Step 6: Final answer
    x = 23,865.77

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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.