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Finding the Fourth Proportional to 77,408.35, 106,833.41 and 45,580.21

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Solution

The fourth proportional to 77,408.35, 106,833.41 and 45,580.21 is: 62,906.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,408.35 : 106,833.41 = 45,580.21 : x
  2. Step 2: Convert to fraction form
    77,408.35/106,833.41 = 45,580.21/x
  3. Step 3: Cross multiply
    77,408.35x = 106,833.41 × 45,580.21
  4. Step 4: Simplify right side
    77,408.35x = 4,869,489,262.82
  5. Step 5: Solve for x
    x = 4,869,489,262.82/77,408.35
  6. Step 6: Final answer
    x = 62,906.51

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