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Finding the Fourth Proportional to 69,784.42, 104,711.26 and 27,663.61

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Solution

The fourth proportional to 69,784.42, 104,711.26 and 27,663.61 is: 41,509.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,784.42 : 104,711.26 = 27,663.61 : x
  2. Step 2: Convert to fraction form
    69,784.42/104,711.26 = 27,663.61/x
  3. Step 3: Cross multiply
    69,784.42x = 104,711.26 × 27,663.61
  4. Step 4: Simplify right side
    69,784.42x = 2,896,691,459.25
  5. Step 5: Solve for x
    x = 2,896,691,459.25/69,784.42
  6. Step 6: Final answer
    x = 41,509.14

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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.