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Finding the Fourth Proportional to 31,542.63, 47,313.95 and 12,832.84

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Solution

The fourth proportional to 31,542.63, 47,313.95 and 12,832.84 is: 19,249.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,542.63 : 47,313.95 = 12,832.84 : x
  2. Step 2: Convert to fraction form
    31,542.63/47,313.95 = 12,832.84/x
  3. Step 3: Cross multiply
    31,542.63x = 47,313.95 × 12,832.84
  4. Step 4: Simplify right side
    31,542.63x = 607,172,350.12
  5. Step 5: Solve for x
    x = 607,172,350.12/31,542.63
  6. Step 6: Final answer
    x = 19,249.26

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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.