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Finding the Fourth Proportional to 77,456, 116,137.13 and 34,753.60

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Solution

The fourth proportional to 77,456, 116,137.13 and 34,753.60 is: 52,109.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,456 : 116,137.13 = 34,753.60 : x
  2. Step 2: Convert to fraction form
    77,456/116,137.13 = 34,753.60/x
  3. Step 3: Cross multiply
    77,456x = 116,137.13 × 34,753.60
  4. Step 4: Simplify right side
    77,456x = 4,036,183,361.17
  5. Step 5: Solve for x
    x = 4,036,183,361.17/77,456
  6. Step 6: Final answer
    x = 52,109.37

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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.