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Finding the Fourth Proportional to 32,076.81, 48,117.78 and 11,008.37

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Solution

The fourth proportional to 32,076.81, 48,117.78 and 11,008.37 is: 16,513.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,076.81 : 48,117.78 = 11,008.37 : x
  2. Step 2: Convert to fraction form
    32,076.81/48,117.78 = 11,008.37/x
  3. Step 3: Cross multiply
    32,076.81x = 48,117.78 × 11,008.37
  4. Step 4: Simplify right side
    32,076.81x = 529,698,446.11
  5. Step 5: Solve for x
    x = 529,698,446.11/32,076.81
  6. Step 6: Final answer
    x = 16,513.44

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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.