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Finding the Fourth Proportional to 55,125, 76,072.50 and 29,974.50

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Solution

The fourth proportional to 55,125, 76,072.50 and 29,974.50 is: 41,364.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,125 : 76,072.50 = 29,974.50 : x
  2. Step 2: Convert to fraction form
    55,125/76,072.50 = 29,974.50/x
  3. Step 3: Cross multiply
    55,125x = 76,072.50 × 29,974.50
  4. Step 4: Simplify right side
    55,125x = 2,280,235,151.25
  5. Step 5: Solve for x
    x = 2,280,235,151.25/55,125
  6. Step 6: Final answer
    x = 41,364.81

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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.