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Finding the Fourth Proportional to 49,437.62, 74,155.81 and 11,998

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Solution

The fourth proportional to 49,437.62, 74,155.81 and 11,998 is: 17,996.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,437.62 : 74,155.81 = 11,998 : x
  2. Step 2: Convert to fraction form
    49,437.62/74,155.81 = 11,998/x
  3. Step 3: Cross multiply
    49,437.62x = 74,155.81 × 11,998
  4. Step 4: Simplify right side
    49,437.62x = 889,721,408.38
  5. Step 5: Solve for x
    x = 889,721,408.38/49,437.62
  6. Step 6: Final answer
    x = 17,996.85

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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.