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Finding the Fourth Proportional to 33,867.55, 50,804.67 and 11,678.01

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Solution

The fourth proportional to 33,867.55, 50,804.67 and 11,678.01 is: 17,518.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,867.55 : 50,804.67 = 11,678.01 : x
  2. Step 2: Convert to fraction form
    33,867.55/50,804.67 = 11,678.01/x
  3. Step 3: Cross multiply
    33,867.55x = 50,804.67 × 11,678.01
  4. Step 4: Simplify right side
    33,867.55x = 593,297,444.31
  5. Step 5: Solve for x
    x = 593,297,444.31/33,867.55
  6. Step 6: Final answer
    x = 17,518.17

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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.