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Finding the Fourth Proportional to 174,286.53, 261,424.31 and 49,627.53

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Solution

The fourth proportional to 174,286.53, 261,424.31 and 49,627.53 is: 74,439.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,286.53 : 261,424.31 = 49,627.53 : x
  2. Step 2: Convert to fraction form
    174,286.53/261,424.31 = 49,627.53/x
  3. Step 3: Cross multiply
    174,286.53x = 261,424.31 × 49,627.53
  4. Step 4: Simplify right side
    174,286.53x = 12,973,842,539.12
  5. Step 5: Solve for x
    x = 12,973,842,539.12/174,286.53
  6. Step 6: Final answer
    x = 74,439.73

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Why These Related Problems?

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