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Finding the Fourth Proportional to 33,138.86, 49,709.82 and 9,448.01

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Solution

The fourth proportional to 33,138.86, 49,709.82 and 9,448.01 is: 14,172.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,138.86 : 49,709.82 = 9,448.01 : x
  2. Step 2: Convert to fraction form
    33,138.86/49,709.82 = 9,448.01/x
  3. Step 3: Cross multiply
    33,138.86x = 49,709.82 × 9,448.01
  4. Step 4: Simplify right side
    33,138.86x = 469,659,036.16
  5. Step 5: Solve for x
    x = 469,659,036.16/33,138.86
  6. Step 6: Final answer
    x = 14,172.46

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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.