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Finding the Fourth Proportional to 70,356.44, 105,393.32 and 32,864.78

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Solution

The fourth proportional to 70,356.44, 105,393.32 and 32,864.78 is: 49,231.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,356.44 : 105,393.32 = 32,864.78 : x
  2. Step 2: Convert to fraction form
    70,356.44/105,393.32 = 32,864.78/x
  3. Step 3: Cross multiply
    70,356.44x = 105,393.32 × 32,864.78
  4. Step 4: Simplify right side
    70,356.44x = 3,463,728,275.27
  5. Step 5: Solve for x
    x = 3,463,728,275.27/70,356.44
  6. Step 6: Final answer
    x = 49,231.15

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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.