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Finding the Fourth Proportional to 76,694.32, 105,830.58 and 44,857

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Solution

The fourth proportional to 76,694.32, 105,830.58 and 44,857 is: 61,898.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,694.32 : 105,830.58 = 44,857 : x
  2. Step 2: Convert to fraction form
    76,694.32/105,830.58 = 44,857/x
  3. Step 3: Cross multiply
    76,694.32x = 105,830.58 × 44,857
  4. Step 4: Simplify right side
    76,694.32x = 4,747,242,327.06
  5. Step 5: Solve for x
    x = 4,747,242,327.06/76,694.32
  6. Step 6: Final answer
    x = 61,898.23

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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.