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Finding the Fourth Proportional to 70,383.20, 105,563.59 and 22,997.86

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Solution

The fourth proportional to 70,383.20, 105,563.59 and 22,997.86 is: 34,493.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,383.20 : 105,563.59 = 22,997.86 : x
  2. Step 2: Convert to fraction form
    70,383.20/105,563.59 = 22,997.86/x
  3. Step 3: Cross multiply
    70,383.20x = 105,563.59 × 22,997.86
  4. Step 4: Simplify right side
    70,383.20x = 2,427,736,342.51
  5. Step 5: Solve for x
    x = 2,427,736,342.51/70,383.20
  6. Step 6: Final answer
    x = 34,493.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.