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Finding the Fourth Proportional to 174,248.82, 261,372.96 and 49,589.82

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Solution

The fourth proportional to 174,248.82, 261,372.96 and 49,589.82 is: 74,384.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,248.82 : 261,372.96 = 49,589.82 : x
  2. Step 2: Convert to fraction form
    174,248.82/261,372.96 = 49,589.82/x
  3. Step 3: Cross multiply
    174,248.82x = 261,372.96 × 49,589.82
  4. Step 4: Simplify right side
    174,248.82x = 12,961,438,039.27
  5. Step 5: Solve for x
    x = 12,961,438,039.27/174,248.82
  6. Step 6: Final answer
    x = 74,384.65

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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.