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Finding the Fourth Proportional to 32,113.86, 48,180.50 and 22,771.92

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Solution

The fourth proportional to 32,113.86, 48,180.50 and 22,771.92 is: 34,164.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,113.86 : 48,180.50 = 22,771.92 : x
  2. Step 2: Convert to fraction form
    32,113.86/48,180.50 = 22,771.92/x
  3. Step 3: Cross multiply
    32,113.86x = 48,180.50 × 22,771.92
  4. Step 4: Simplify right side
    32,113.86x = 1,097,162,491.56
  5. Step 5: Solve for x
    x = 1,097,162,491.56/32,113.86
  6. Step 6: Final answer
    x = 34,164.77

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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.