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Finding the Fourth Proportional to 120,894.96, 181,342.12 and 32,148.48

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Solution

The fourth proportional to 120,894.96, 181,342.12 and 32,148.48 is: 48,222.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,894.96 : 181,342.12 = 32,148.48 : x
  2. Step 2: Convert to fraction form
    120,894.96/181,342.12 = 32,148.48/x
  3. Step 3: Cross multiply
    120,894.96x = 181,342.12 × 32,148.48
  4. Step 4: Simplify right side
    120,894.96x = 5,829,873,517.98
  5. Step 5: Solve for x
    x = 5,829,873,517.98/120,894.96
  6. Step 6: Final answer
    x = 48,222.63

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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.