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Finding the Fourth Proportional to 114,550.80, 171,826.20 and 31,444.80

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Solution

The fourth proportional to 114,550.80, 171,826.20 and 31,444.80 is: 47,167.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,550.80 : 171,826.20 = 31,444.80 : x
  2. Step 2: Convert to fraction form
    114,550.80/171,826.20 = 31,444.80/x
  3. Step 3: Cross multiply
    114,550.80x = 171,826.20 × 31,444.80
  4. Step 4: Simplify right side
    114,550.80x = 5,403,040,493.76
  5. Step 5: Solve for x
    x = 5,403,040,493.76/114,550.80
  6. Step 6: Final answer
    x = 47,167.20

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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.