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Finding the Fourth Proportional to 32,993.78, 49,483.83 and 11,649.38

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Solution

The fourth proportional to 32,993.78, 49,483.83 and 11,649.38 is: 17,471.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,993.78 : 49,483.83 = 11,649.38 : x
  2. Step 2: Convert to fraction form
    32,993.78/49,483.83 = 11,649.38/x
  3. Step 3: Cross multiply
    32,993.78x = 49,483.83 × 11,649.38
  4. Step 4: Simplify right side
    32,993.78x = 576,455,939.53
  5. Step 5: Solve for x
    x = 576,455,939.53/32,993.78
  6. Step 6: Final answer
    x = 17,471.65

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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.