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Finding the Fourth Proportional to 77,644.88, 116,491.92 and 27,723.86

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Solution

The fourth proportional to 77,644.88, 116,491.92 and 27,723.86 is: 41,594.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,644.88 : 116,491.92 = 27,723.86 : x
  2. Step 2: Convert to fraction form
    77,644.88/116,491.92 = 27,723.86/x
  3. Step 3: Cross multiply
    77,644.88x = 116,491.92 × 27,723.86
  4. Step 4: Simplify right side
    77,644.88x = 3,229,605,681.21
  5. Step 5: Solve for x
    x = 3,229,605,681.21/77,644.88
  6. Step 6: Final answer
    x = 41,594.57

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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.