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Finding the Fourth Proportional to 32,723.86, 49,078.50 and 15,184.12

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Solution

The fourth proportional to 32,723.86, 49,078.50 and 15,184.12 is: 22,772.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,723.86 : 49,078.50 = 15,184.12 : x
  2. Step 2: Convert to fraction form
    32,723.86/49,078.50 = 15,184.12/x
  3. Step 3: Cross multiply
    32,723.86x = 49,078.50 × 15,184.12
  4. Step 4: Simplify right side
    32,723.86x = 745,213,833.42
  5. Step 5: Solve for x
    x = 745,213,833.42/32,723.86
  6. Step 6: Final answer
    x = 22,772.80

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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.