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Finding the Fourth Proportional to 77,878.14, 116,817.24 and 21,715.98

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Solution

The fourth proportional to 77,878.14, 116,817.24 and 21,715.98 is: 32,573.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,878.14 : 116,817.24 = 21,715.98 : x
  2. Step 2: Convert to fraction form
    77,878.14/116,817.24 = 21,715.98/x
  3. Step 3: Cross multiply
    77,878.14x = 116,817.24 × 21,715.98
  4. Step 4: Simplify right side
    77,878.14x = 2,536,800,847.50
  5. Step 5: Solve for x
    x = 2,536,800,847.50/77,878.14
  6. Step 6: Final answer
    x = 32,573.98

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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.