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Finding the Fourth Proportional to 62,408.68, 86,123.86 and 34,114.37

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Solution

The fourth proportional to 62,408.68, 86,123.86 and 34,114.37 is: 47,077.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,408.68 : 86,123.86 = 34,114.37 : x
  2. Step 2: Convert to fraction form
    62,408.68/86,123.86 = 34,114.37/x
  3. Step 3: Cross multiply
    62,408.68x = 86,123.86 × 34,114.37
  4. Step 4: Simplify right side
    62,408.68x = 2,938,060,709.96
  5. Step 5: Solve for x
    x = 2,938,060,709.96/62,408.68
  6. Step 6: Final answer
    x = 47,077.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.