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Finding the Fourth Proportional to 32,105.86, 48,151.48 and 12,117.47

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Solution

The fourth proportional to 32,105.86, 48,151.48 and 12,117.47 is: 18,173.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,105.86 : 48,151.48 = 12,117.47 : x
  2. Step 2: Convert to fraction form
    32,105.86/48,151.48 = 12,117.47/x
  3. Step 3: Cross multiply
    32,105.86x = 48,151.48 × 12,117.47
  4. Step 4: Simplify right side
    32,105.86x = 583,474,144.65
  5. Step 5: Solve for x
    x = 583,474,144.65/32,105.86
  6. Step 6: Final answer
    x = 18,173.45

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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.