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Finding the Fourth Proportional to 99,769.48, 137,677.22 and 54,449.34

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Solution

The fourth proportional to 99,769.48, 137,677.22 and 54,449.34 is: 75,137.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,769.48 : 137,677.22 = 54,449.34 : x
  2. Step 2: Convert to fraction form
    99,769.48/137,677.22 = 54,449.34/x
  3. Step 3: Cross multiply
    99,769.48x = 137,677.22 × 54,449.34
  4. Step 4: Simplify right side
    99,769.48x = 7,496,433,762.03
  5. Step 5: Solve for x
    x = 7,496,433,762.03/99,769.48
  6. Step 6: Final answer
    x = 75,137.54

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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.