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Finding the Fourth Proportional to 77,102.50, 115,655.79 and 24,511.96

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Solution

The fourth proportional to 77,102.50, 115,655.79 and 24,511.96 is: 36,768.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,102.50 : 115,655.79 = 24,511.96 : x
  2. Step 2: Convert to fraction form
    77,102.50/115,655.79 = 24,511.96/x
  3. Step 3: Cross multiply
    77,102.50x = 115,655.79 × 24,511.96
  4. Step 4: Simplify right side
    77,102.50x = 2,834,950,098.25
  5. Step 5: Solve for x
    x = 2,834,950,098.25/77,102.50
  6. Step 6: Final answer
    x = 36,768.59

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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.