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Finding the Fourth Proportional to 138,830.71, 208,246.09 and 33,649.69

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Solution

The fourth proportional to 138,830.71, 208,246.09 and 33,649.69 is: 50,474.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,830.71 : 208,246.09 = 33,649.69 : x
  2. Step 2: Convert to fraction form
    138,830.71/208,246.09 = 33,649.69/x
  3. Step 3: Cross multiply
    138,830.71x = 208,246.09 × 33,649.69
  4. Step 4: Simplify right side
    138,830.71x = 7,007,416,372.21
  5. Step 5: Solve for x
    x = 7,007,416,372.21/138,830.71
  6. Step 6: Final answer
    x = 50,474.54

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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.