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Finding the Fourth Proportional to 57,314.70, 85,972.05 and 41,762.70

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Solution

The fourth proportional to 57,314.70, 85,972.05 and 41,762.70 is: 62,644.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,314.70 : 85,972.05 = 41,762.70 : x
  2. Step 2: Convert to fraction form
    57,314.70/85,972.05 = 41,762.70/x
  3. Step 3: Cross multiply
    57,314.70x = 85,972.05 × 41,762.70
  4. Step 4: Simplify right side
    57,314.70x = 3,590,424,932.54
  5. Step 5: Solve for x
    x = 3,590,424,932.54/57,314.70
  6. Step 6: Final answer
    x = 62,644.05

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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.