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Finding the Fourth Proportional to 76,757, 105,924.66 and 44,924.36

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Solution

The fourth proportional to 76,757, 105,924.66 and 44,924.36 is: 61,995.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,757 : 105,924.66 = 44,924.36 : x
  2. Step 2: Convert to fraction form
    76,757/105,924.66 = 44,924.36/x
  3. Step 3: Cross multiply
    76,757x = 105,924.66 × 44,924.36
  4. Step 4: Simplify right side
    76,757x = 4,758,597,558.72
  5. Step 5: Solve for x
    x = 4,758,597,558.72/76,757
  6. Step 6: Final answer
    x = 61,995.62

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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.