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Finding the Fourth Proportional to 32,076.99, 48,103.17 and 11,013.12

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Solution

The fourth proportional to 32,076.99, 48,103.17 and 11,013.12 is: 16,515.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,076.99 : 48,103.17 = 11,013.12 : x
  2. Step 2: Convert to fraction form
    32,076.99/48,103.17 = 11,013.12/x
  3. Step 3: Cross multiply
    32,076.99x = 48,103.17 × 11,013.12
  4. Step 4: Simplify right side
    32,076.99x = 529,765,983.59
  5. Step 5: Solve for x
    x = 529,765,983.59/32,076.99
  6. Step 6: Final answer
    x = 16,515.45

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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.