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Finding the Fourth Proportional to 81,490.80, 122,163.30 and 31,554.30

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Solution

The fourth proportional to 81,490.80, 122,163.30 and 31,554.30 is: 47,303.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,490.80 : 122,163.30 = 31,554.30 : x
  2. Step 2: Convert to fraction form
    81,490.80/122,163.30 = 31,554.30/x
  3. Step 3: Cross multiply
    81,490.80x = 122,163.30 × 31,554.30
  4. Step 4: Simplify right side
    81,490.80x = 3,854,777,417.19
  5. Step 5: Solve for x
    x = 3,854,777,417.19/81,490.80
  6. Step 6: Final answer
    x = 47,303.22

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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.