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Finding the Fourth Proportional to 57,057, 85,510.08 and 41,314.68

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Solution

The fourth proportional to 57,057, 85,510.08 and 41,314.68 is: 61,917.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,057 : 85,510.08 = 41,314.68 : x
  2. Step 2: Convert to fraction form
    57,057/85,510.08 = 41,314.68/x
  3. Step 3: Cross multiply
    57,057x = 85,510.08 × 41,314.68
  4. Step 4: Simplify right side
    57,057x = 3,532,821,591.97
  5. Step 5: Solve for x
    x = 3,532,821,591.97/57,057
  6. Step 6: Final answer
    x = 61,917.41

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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.