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Finding the Fourth Proportional to 32,745.80, 49,098.56 and 12,731.88

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Solution

The fourth proportional to 32,745.80, 49,098.56 and 12,731.88 is: 19,089.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,745.80 : 49,098.56 = 12,731.88 : x
  2. Step 2: Convert to fraction form
    32,745.80/49,098.56 = 12,731.88/x
  3. Step 3: Cross multiply
    32,745.80x = 49,098.56 × 12,731.88
  4. Step 4: Simplify right side
    32,745.80x = 625,116,974.09
  5. Step 5: Solve for x
    x = 625,116,974.09/32,745.80
  6. Step 6: Final answer
    x = 19,089.99

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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.