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Finding the Fourth Proportional to 138,669.04, 208,003.10 and 33,488

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Solution

The fourth proportional to 138,669.04, 208,003.10 and 33,488 is: 50,231.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,669.04 : 208,003.10 = 33,488 : x
  2. Step 2: Convert to fraction form
    138,669.04/208,003.10 = 33,488/x
  3. Step 3: Cross multiply
    138,669.04x = 208,003.10 × 33,488
  4. Step 4: Simplify right side
    138,669.04x = 6,965,607,812.80
  5. Step 5: Solve for x
    x = 6,965,607,812.80/138,669.04
  6. Step 6: Final answer
    x = 50,231.89

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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.