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Finding the Fourth Proportional to 69,598.81, 104,351.34 and 32,138.24

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Solution

The fourth proportional to 69,598.81, 104,351.34 and 32,138.24 is: 48,185.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,598.81 : 104,351.34 = 32,138.24 : x
  2. Step 2: Convert to fraction form
    69,598.81/104,351.34 = 32,138.24/x
  3. Step 3: Cross multiply
    69,598.81x = 104,351.34 × 32,138.24
  4. Step 4: Simplify right side
    69,598.81x = 3,353,667,827.23
  5. Step 5: Solve for x
    x = 3,353,667,827.23/69,598.81
  6. Step 6: Final answer
    x = 48,185.71

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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.