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Finding the Fourth Proportional to 77,023.08, 115,511.10 and 32,649

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Solution

The fourth proportional to 77,023.08, 115,511.10 and 32,649 is: 48,963.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,023.08 : 115,511.10 = 32,649 : x
  2. Step 2: Convert to fraction form
    77,023.08/115,511.10 = 32,649/x
  3. Step 3: Cross multiply
    77,023.08x = 115,511.10 × 32,649
  4. Step 4: Simplify right side
    77,023.08x = 3,771,321,903.90
  5. Step 5: Solve for x
    x = 3,771,321,903.90/77,023.08
  6. Step 6: Final answer
    x = 48,963.53

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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.