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Finding the Fourth Proportional to 52,152, 77,557.10 and 50,491.31

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Solution

The fourth proportional to 52,152, 77,557.10 and 50,491.31 is: 75,087.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,152 : 77,557.10 = 50,491.31 : x
  2. Step 2: Convert to fraction form
    52,152/77,557.10 = 50,491.31/x
  3. Step 3: Cross multiply
    52,152x = 77,557.10 × 50,491.31
  4. Step 4: Simplify right side
    52,152x = 3,915,958,938.56
  5. Step 5: Solve for x
    x = 3,915,958,938.56/52,152
  6. Step 6: Final answer
    x = 75,087.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.