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Finding the Fourth Proportional to 32,511.38, 48,767.06 and 7,887.38

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Solution

The fourth proportional to 32,511.38, 48,767.06 and 7,887.38 is: 11,831.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,511.38 : 48,767.06 = 7,887.38 : x
  2. Step 2: Convert to fraction form
    32,511.38/48,767.06 = 7,887.38/x
  3. Step 3: Cross multiply
    32,511.38x = 48,767.06 × 7,887.38
  4. Step 4: Simplify right side
    32,511.38x = 384,644,109.59
  5. Step 5: Solve for x
    x = 384,644,109.59/32,511.38
  6. Step 6: Final answer
    x = 11,831.06

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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.