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Finding the Fourth Proportional to 121,193.96, 181,800.06 and 32,445.50

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Solution

The fourth proportional to 121,193.96, 181,800.06 and 32,445.50 is: 48,670.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,193.96 : 181,800.06 = 32,445.50 : x
  2. Step 2: Convert to fraction form
    121,193.96/181,800.06 = 32,445.50/x
  3. Step 3: Cross multiply
    121,193.96x = 181,800.06 × 32,445.50
  4. Step 4: Simplify right side
    121,193.96x = 5,898,593,846.73
  5. Step 5: Solve for x
    x = 5,898,593,846.73/121,193.96
  6. Step 6: Final answer
    x = 48,670.69

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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.