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Finding the Fourth Proportional to 57,054, 85,505.58 and 41,311.68

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Solution

The fourth proportional to 57,054, 85,505.58 and 41,311.68 is: 61,912.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,054 : 85,505.58 = 41,311.68 : x
  2. Step 2: Convert to fraction form
    57,054/85,505.58 = 41,311.68/x
  3. Step 3: Cross multiply
    57,054x = 85,505.58 × 41,311.68
  4. Step 4: Simplify right side
    57,054x = 3,532,379,159.17
  5. Step 5: Solve for x
    x = 3,532,379,159.17/57,054
  6. Step 6: Final answer
    x = 61,912.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.