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Finding the Fourth Proportional to 49,455.68, 74,223.36 and 25,770.46

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Solution

The fourth proportional to 49,455.68, 74,223.36 and 25,770.46 is: 38,676.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,455.68 : 74,223.36 = 25,770.46 : x
  2. Step 2: Convert to fraction form
    49,455.68/74,223.36 = 25,770.46/x
  3. Step 3: Cross multiply
    49,455.68x = 74,223.36 × 25,770.46
  4. Step 4: Simplify right side
    49,455.68x = 1,912,770,129.95
  5. Step 5: Solve for x
    x = 1,912,770,129.95/49,455.68
  6. Step 6: Final answer
    x = 38,676.45

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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.