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Finding the Fourth Proportional to 81,854.88, 122,784.80 and 31,932.96

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Solution

The fourth proportional to 81,854.88, 122,784.80 and 31,932.96 is: 47,900.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,854.88 : 122,784.80 = 31,932.96 : x
  2. Step 2: Convert to fraction form
    81,854.88/122,784.80 = 31,932.96/x
  3. Step 3: Cross multiply
    81,854.88x = 122,784.80 × 31,932.96
  4. Step 4: Simplify right side
    81,854.88x = 3,920,882,107.01
  5. Step 5: Solve for x
    x = 3,920,882,107.01/81,854.88
  6. Step 6: Final answer
    x = 47,900.41

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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.