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Finding the Fourth Proportional to 120,744.78, 181,096.56 and 32,007.30

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Solution

The fourth proportional to 120,744.78, 181,096.56 and 32,007.30 is: 48,005.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,744.78 : 181,096.56 = 32,007.30 : x
  2. Step 2: Convert to fraction form
    120,744.78/181,096.56 = 32,007.30/x
  3. Step 3: Cross multiply
    120,744.78x = 181,096.56 × 32,007.30
  4. Step 4: Simplify right side
    120,744.78x = 5,796,411,924.89
  5. Step 5: Solve for x
    x = 5,796,411,924.89/120,744.78
  6. Step 6: Final answer
    x = 48,005.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.