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Finding the Fourth Proportional to 32,480.86, 48,723.04 and 10,295.97

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Solution

The fourth proportional to 32,480.86, 48,723.04 and 10,295.97 is: 15,444.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,480.86 : 48,723.04 = 10,295.97 : x
  2. Step 2: Convert to fraction form
    32,480.86/48,723.04 = 10,295.97/x
  3. Step 3: Cross multiply
    32,480.86x = 48,723.04 × 10,295.97
  4. Step 4: Simplify right side
    32,480.86x = 501,650,786.37
  5. Step 5: Solve for x
    x = 501,650,786.37/32,480.86
  6. Step 6: Final answer
    x = 15,444.50

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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.