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Finding the Fourth Proportional to 77,817.96, 116,702.64 and 25,216.56

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Solution

The fourth proportional to 77,817.96, 116,702.64 and 25,216.56 is: 37,816.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,817.96 : 116,702.64 = 25,216.56 : x
  2. Step 2: Convert to fraction form
    77,817.96/116,702.64 = 25,216.56/x
  3. Step 3: Cross multiply
    77,817.96x = 116,702.64 × 25,216.56
  4. Step 4: Simplify right side
    77,817.96x = 2,942,839,123.72
  5. Step 5: Solve for x
    x = 2,942,839,123.72/77,817.96
  6. Step 6: Final answer
    x = 37,816.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.