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Finding the Fourth Proportional to 120,745.78, 181,098.06 and 32,008.30

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Solution

The fourth proportional to 120,745.78, 181,098.06 and 32,008.30 is: 48,006.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,745.78 : 181,098.06 = 32,008.30 : x
  2. Step 2: Convert to fraction form
    120,745.78/181,098.06 = 32,008.30/x
  3. Step 3: Cross multiply
    120,745.78x = 181,098.06 × 32,008.30
  4. Step 4: Simplify right side
    120,745.78x = 5,796,641,033.90
  5. Step 5: Solve for x
    x = 5,796,641,033.90/120,745.78
  6. Step 6: Final answer
    x = 48,006.99

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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.