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Finding the Fourth Proportional to 120,788.42, 181,191.74 and 32,039.96

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Solution

The fourth proportional to 120,788.42, 181,191.74 and 32,039.96 is: 48,062.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,788.42 : 181,191.74 = 32,039.96 : x
  2. Step 2: Convert to fraction form
    120,788.42/181,191.74 = 32,039.96/x
  3. Step 3: Cross multiply
    120,788.42x = 181,191.74 × 32,039.96
  4. Step 4: Simplify right side
    120,788.42x = 5,805,375,035.77
  5. Step 5: Solve for x
    x = 5,805,375,035.77/120,788.42
  6. Step 6: Final answer
    x = 48,062.35

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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.