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Finding the Fourth Proportional to 57,477, 86,215.41 and 18,037.14

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Solution

The fourth proportional to 57,477, 86,215.41 and 18,037.14 is: 27,055.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,477 : 86,215.41 = 18,037.14 : x
  2. Step 2: Convert to fraction form
    57,477/86,215.41 = 18,037.14/x
  3. Step 3: Cross multiply
    57,477x = 86,215.41 × 18,037.14
  4. Step 4: Simplify right side
    57,477x = 1,555,079,420.33
  5. Step 5: Solve for x
    x = 1,555,079,420.33/57,477
  6. Step 6: Final answer
    x = 27,055.68

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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.