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Finding the Fourth Proportional to 138,830.05, 208,245.08 and 33,649.02

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Solution

The fourth proportional to 138,830.05, 208,245.08 and 33,649.02 is: 50,473.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,830.05 : 208,245.08 = 33,649.02 : x
  2. Step 2: Convert to fraction form
    138,830.05/208,245.08 = 33,649.02/x
  3. Step 3: Cross multiply
    138,830.05x = 208,245.08 × 33,649.02
  4. Step 4: Simplify right side
    138,830.05x = 7,007,242,756.67
  5. Step 5: Solve for x
    x = 7,007,242,756.67/138,830.05
  6. Step 6: Final answer
    x = 50,473.53

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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.