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Finding the Fourth Proportional to 77,892.88, 107,497.24 and 45,194

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Solution

The fourth proportional to 77,892.88, 107,497.24 and 45,194 is: 62,370.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,892.88 : 107,497.24 = 45,194 : x
  2. Step 2: Convert to fraction form
    77,892.88/107,497.24 = 45,194/x
  3. Step 3: Cross multiply
    77,892.88x = 107,497.24 × 45,194
  4. Step 4: Simplify right side
    77,892.88x = 4,858,230,264.56
  5. Step 5: Solve for x
    x = 4,858,230,264.56/77,892.88
  6. Step 6: Final answer
    x = 62,370.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.