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Finding the Fourth Proportional to 70,183.14, 105,309.90 and 32,746.20

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Solution

The fourth proportional to 70,183.14, 105,309.90 and 32,746.20 is: 49,135.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,183.14 : 105,309.90 = 32,746.20 : x
  2. Step 2: Convert to fraction form
    70,183.14/105,309.90 = 32,746.20/x
  3. Step 3: Cross multiply
    70,183.14x = 105,309.90 × 32,746.20
  4. Step 4: Simplify right side
    70,183.14x = 3,448,499,047.38
  5. Step 5: Solve for x
    x = 3,448,499,047.38/70,183.14
  6. Step 6: Final answer
    x = 49,135.72

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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.