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Finding the Fourth Proportional to 69,783.42, 104,709.76 and 27,662.61

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Solution

The fourth proportional to 69,783.42, 104,709.76 and 27,662.61 is: 41,507.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,783.42 : 104,709.76 = 27,662.61 : x
  2. Step 2: Convert to fraction form
    69,783.42/104,709.76 = 27,662.61/x
  3. Step 3: Cross multiply
    69,783.42x = 104,709.76 × 27,662.61
  4. Step 4: Simplify right side
    69,783.42x = 2,896,545,184.92
  5. Step 5: Solve for x
    x = 2,896,545,184.92/69,783.42
  6. Step 6: Final answer
    x = 41,507.64

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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.