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Finding the Fourth Proportional to 57,056.40, 85,172.31 and 50,058

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Solution

The fourth proportional to 57,056.40, 85,172.31 and 50,058 is: 74,725.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,056.40 : 85,172.31 = 50,058 : x
  2. Step 2: Convert to fraction form
    57,056.40/85,172.31 = 50,058/x
  3. Step 3: Cross multiply
    57,056.40x = 85,172.31 × 50,058
  4. Step 4: Simplify right side
    57,056.40x = 4,263,555,493.98
  5. Step 5: Solve for x
    x = 4,263,555,493.98/57,056.40
  6. Step 6: Final answer
    x = 74,725.28

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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.