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Finding the Fourth Proportional to 57,465.87, 86,199.72 and 18,023.32

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Solution

The fourth proportional to 57,465.87, 86,199.72 and 18,023.32 is: 27,035.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,465.87 : 86,199.72 = 18,023.32 : x
  2. Step 2: Convert to fraction form
    57,465.87/86,199.72 = 18,023.32/x
  3. Step 3: Cross multiply
    57,465.87x = 86,199.72 × 18,023.32
  4. Step 4: Simplify right side
    57,465.87x = 1,553,605,137.47
  5. Step 5: Solve for x
    x = 1,553,605,137.47/57,465.87
  6. Step 6: Final answer
    x = 27,035.27

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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.