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Finding the Fourth Proportional to 57,467.54, 86,202.76 and 15,914.90

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Solution

The fourth proportional to 57,467.54, 86,202.76 and 15,914.90 is: 23,872.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,467.54 : 86,202.76 = 15,914.90 : x
  2. Step 2: Convert to fraction form
    57,467.54/86,202.76 = 15,914.90/x
  3. Step 3: Cross multiply
    57,467.54x = 86,202.76 × 15,914.90
  4. Step 4: Simplify right side
    57,467.54x = 1,371,908,305.12
  5. Step 5: Solve for x
    x = 1,371,908,305.12/57,467.54
  6. Step 6: Final answer
    x = 23,872.75

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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.