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Finding the Fourth Proportional to 77,361.56, 116,043.96 and 24,770.90

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Solution

The fourth proportional to 77,361.56, 116,043.96 and 24,770.90 is: 37,156.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,361.56 : 116,043.96 = 24,770.90 : x
  2. Step 2: Convert to fraction form
    77,361.56/116,043.96 = 24,770.90/x
  3. Step 3: Cross multiply
    77,361.56x = 116,043.96 × 24,770.90
  4. Step 4: Simplify right side
    77,361.56x = 2,874,512,810.47
  5. Step 5: Solve for x
    x = 2,874,512,810.47/77,361.56
  6. Step 6: Final answer
    x = 37,156.86

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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.