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Finding the Fourth Proportional to 132,747.48, 199,114.74 and 49,635

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Solution

The fourth proportional to 132,747.48, 199,114.74 and 49,635 is: 74,450.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,747.48 : 199,114.74 = 49,635 : x
  2. Step 2: Convert to fraction form
    132,747.48/199,114.74 = 49,635/x
  3. Step 3: Cross multiply
    132,747.48x = 199,114.74 × 49,635
  4. Step 4: Simplify right side
    132,747.48x = 9,883,060,119.90
  5. Step 5: Solve for x
    x = 9,883,060,119.90/132,747.48
  6. Step 6: Final answer
    x = 74,450.08

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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.