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Finding the Fourth Proportional to 57,902.48, 86,857.08 and 16,346

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Solution

The fourth proportional to 57,902.48, 86,857.08 and 16,346 is: 24,519.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,902.48 : 86,857.08 = 16,346 : x
  2. Step 2: Convert to fraction form
    57,902.48/86,857.08 = 16,346/x
  3. Step 3: Cross multiply
    57,902.48x = 86,857.08 × 16,346
  4. Step 4: Simplify right side
    57,902.48x = 1,419,765,829.68
  5. Step 5: Solve for x
    x = 1,419,765,829.68/57,902.48
  6. Step 6: Final answer
    x = 24,519.95

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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.