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Finding the Fourth Proportional to 76,744.96, 105,936.96 and 44,924.16

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Solution

The fourth proportional to 76,744.96, 105,936.96 and 44,924.16 is: 62,012.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,744.96 : 105,936.96 = 44,924.16 : x
  2. Step 2: Convert to fraction form
    76,744.96/105,936.96 = 44,924.16/x
  3. Step 3: Cross multiply
    76,744.96x = 105,936.96 × 44,924.16
  4. Step 4: Simplify right side
    76,744.96x = 4,759,128,940.95
  5. Step 5: Solve for x
    x = 4,759,128,940.95/76,744.96
  6. Step 6: Final answer
    x = 62,012.27

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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.