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Finding the Fourth Proportional to 70,255.92, 105,383.76 and 32,803.44

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Solution

The fourth proportional to 70,255.92, 105,383.76 and 32,803.44 is: 49,205.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,255.92 : 105,383.76 = 32,803.44 : x
  2. Step 2: Convert to fraction form
    70,255.92/105,383.76 = 32,803.44/x
  3. Step 3: Cross multiply
    70,255.92x = 105,383.76 × 32,803.44
  4. Step 4: Simplify right side
    70,255.92x = 3,456,949,848.13
  5. Step 5: Solve for x
    x = 3,456,949,848.13/70,255.92
  6. Step 6: Final answer
    x = 49,205.10

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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.