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Finding the Fourth Proportional to 69,784.67, 104,711.63 and 27,663.86

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Solution

The fourth proportional to 69,784.67, 104,711.63 and 27,663.86 is: 41,509.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,784.67 : 104,711.63 = 27,663.86 : x
  2. Step 2: Convert to fraction form
    69,784.67/104,711.63 = 27,663.86/x
  3. Step 3: Cross multiply
    69,784.67x = 104,711.63 × 27,663.86
  4. Step 4: Simplify right side
    69,784.67x = 2,896,727,872.69
  5. Step 5: Solve for x
    x = 2,896,727,872.69/69,784.67
  6. Step 6: Final answer
    x = 41,509.52

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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.