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Finding the Fourth Proportional to 57,790.92, 86,697.14 and 18,337.40

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Solution

The fourth proportional to 57,790.92, 86,697.14 and 18,337.40 is: 27,509.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,790.92 : 86,697.14 = 18,337.40 : x
  2. Step 2: Convert to fraction form
    57,790.92/86,697.14 = 18,337.40/x
  3. Step 3: Cross multiply
    57,790.92x = 86,697.14 × 18,337.40
  4. Step 4: Simplify right side
    57,790.92x = 1,589,800,135.04
  5. Step 5: Solve for x
    x = 1,589,800,135.04/57,790.92
  6. Step 6: Final answer
    x = 27,509.51

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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.