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Finding the Fourth Proportional to 139,002.92, 208,502.56 and 33,822

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Solution

The fourth proportional to 139,002.92, 208,502.56 and 33,822 is: 50,732.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,002.92 : 208,502.56 = 33,822 : x
  2. Step 2: Convert to fraction form
    139,002.92/208,502.56 = 33,822/x
  3. Step 3: Cross multiply
    139,002.92x = 208,502.56 × 33,822
  4. Step 4: Simplify right side
    139,002.92x = 7,051,973,584.32
  5. Step 5: Solve for x
    x = 7,051,973,584.32/139,002.92
  6. Step 6: Final answer
    x = 50,732.56

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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.