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Finding the Fourth Proportional to 55,123, 76,069.74 and 29,972.68

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Solution

The fourth proportional to 55,123, 76,069.74 and 29,972.68 is: 41,362.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,123 : 76,069.74 = 29,972.68 : x
  2. Step 2: Convert to fraction form
    55,123/76,069.74 = 29,972.68/x
  3. Step 3: Cross multiply
    55,123x = 76,069.74 × 29,972.68
  4. Step 4: Simplify right side
    55,123x = 2,280,013,974.70
  5. Step 5: Solve for x
    x = 2,280,013,974.70/55,123
  6. Step 6: Final answer
    x = 41,362.30

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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.