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Finding the Fourth Proportional to 120,883.44, 181,324.94 and 32,136.93

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Solution

The fourth proportional to 120,883.44, 181,324.94 and 32,136.93 is: 48,205.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,883.44 : 181,324.94 = 32,136.93 : x
  2. Step 2: Convert to fraction form
    120,883.44/181,324.94 = 32,136.93/x
  3. Step 3: Cross multiply
    120,883.44x = 181,324.94 × 32,136.93
  4. Step 4: Simplify right side
    120,883.44x = 5,827,226,743.35
  5. Step 5: Solve for x
    x = 5,827,226,743.35/120,883.44
  6. Step 6: Final answer
    x = 48,205.34

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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.