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Finding the Fourth Proportional to 83,755.49, 125,662.39 and 39,416.09

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Solution

The fourth proportional to 83,755.49, 125,662.39 and 39,416.09 is: 59,137.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,755.49 : 125,662.39 = 39,416.09 : x
  2. Step 2: Convert to fraction form
    83,755.49/125,662.39 = 39,416.09/x
  3. Step 3: Cross multiply
    83,755.49x = 125,662.39 × 39,416.09
  4. Step 4: Simplify right side
    83,755.49x = 4,953,119,347.00
  5. Step 5: Solve for x
    x = 4,953,119,347.00/83,755.49
  6. Step 6: Final answer
    x = 59,137.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.