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Finding the Fourth Proportional to 32,297.78, 48,164.02 and 32,002.52

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Solution

The fourth proportional to 32,297.78, 48,164.02 and 32,002.52 is: 47,723.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,297.78 : 48,164.02 = 32,002.52 : x
  2. Step 2: Convert to fraction form
    32,297.78/48,164.02 = 32,002.52/x
  3. Step 3: Cross multiply
    32,297.78x = 48,164.02 × 32,002.52
  4. Step 4: Simplify right side
    32,297.78x = 1,541,370,013.33
  5. Step 5: Solve for x
    x = 1,541,370,013.33/32,297.78
  6. Step 6: Final answer
    x = 47,723.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.