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Finding the Fourth Proportional to 69,238.96, 103,816.82 and 27,068.81

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Solution

The fourth proportional to 69,238.96, 103,816.82 and 27,068.81 is: 40,586.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,238.96 : 103,816.82 = 27,068.81 : x
  2. Step 2: Convert to fraction form
    69,238.96/103,816.82 = 27,068.81/x
  3. Step 3: Cross multiply
    69,238.96x = 103,816.82 × 27,068.81
  4. Step 4: Simplify right side
    69,238.96x = 2,810,197,775.38
  5. Step 5: Solve for x
    x = 2,810,197,775.38/69,238.96
  6. Step 6: Final answer
    x = 40,586.95

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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.