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Finding the Fourth Proportional to 57,385.69, 86,083.49 and 15,832.69

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Solution

The fourth proportional to 57,385.69, 86,083.49 and 15,832.69 is: 23,750.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,385.69 : 86,083.49 = 15,832.69 : x
  2. Step 2: Convert to fraction form
    57,385.69/86,083.49 = 15,832.69/x
  3. Step 3: Cross multiply
    57,385.69x = 86,083.49 × 15,832.69
  4. Step 4: Simplify right side
    57,385.69x = 1,362,933,035.66
  5. Step 5: Solve for x
    x = 1,362,933,035.66/57,385.69
  6. Step 6: Final answer
    x = 23,750.40

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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.