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Finding the Fourth Proportional to 76,809.94, 105,997.26 and 44,972.44

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Solution

The fourth proportional to 76,809.94, 105,997.26 and 44,972.44 is: 62,061.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,809.94 : 105,997.26 = 44,972.44 : x
  2. Step 2: Convert to fraction form
    76,809.94/105,997.26 = 44,972.44/x
  3. Step 3: Cross multiply
    76,809.94x = 105,997.26 × 44,972.44
  4. Step 4: Simplify right side
    76,809.94x = 4,766,955,415.51
  5. Step 5: Solve for x
    x = 4,766,955,415.51/76,809.94
  6. Step 6: Final answer
    x = 62,061.70

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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.