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Finding the Fourth Proportional to 77,682.60, 107,219.64 and 54,997.74

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Solution

The fourth proportional to 77,682.60, 107,219.64 and 54,997.74 is: 75,909.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,682.60 : 107,219.64 = 54,997.74 : x
  2. Step 2: Convert to fraction form
    77,682.60/107,219.64 = 54,997.74/x
  3. Step 3: Cross multiply
    77,682.60x = 107,219.64 × 54,997.74
  4. Step 4: Simplify right side
    77,682.60x = 5,896,837,883.61
  5. Step 5: Solve for x
    x = 5,896,837,883.61/77,682.60
  6. Step 6: Final answer
    x = 75,909.38

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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.