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Finding the Fourth Proportional to 91,285.80, 125,972.82 and 50,997

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Solution

The fourth proportional to 91,285.80, 125,972.82 and 50,997 is: 70,374.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,285.80 : 125,972.82 = 50,997 : x
  2. Step 2: Convert to fraction form
    91,285.80/125,972.82 = 50,997/x
  3. Step 3: Cross multiply
    91,285.80x = 125,972.82 × 50,997
  4. Step 4: Simplify right side
    91,285.80x = 6,424,235,901.54
  5. Step 5: Solve for x
    x = 6,424,235,901.54/91,285.80
  6. Step 6: Final answer
    x = 70,374.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.