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Finding the Fourth Proportional to 48,408.98, 66,811.81 and 29,557.14

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Solution

The fourth proportional to 48,408.98, 66,811.81 and 29,557.14 is: 40,793.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,408.98 : 66,811.81 = 29,557.14 : x
  2. Step 2: Convert to fraction form
    48,408.98/66,811.81 = 29,557.14/x
  3. Step 3: Cross multiply
    48,408.98x = 66,811.81 × 29,557.14
  4. Step 4: Simplify right side
    48,408.98x = 1,974,766,021.82
  5. Step 5: Solve for x
    x = 1,974,766,021.82/48,408.98
  6. Step 6: Final answer
    x = 40,793.38

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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.