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Finding the Fourth Proportional to 70,392.81, 105,623.43 and 30,944.82

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Solution

The fourth proportional to 70,392.81, 105,623.43 and 30,944.82 is: 46,432.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,392.81 : 105,623.43 = 30,944.82 : x
  2. Step 2: Convert to fraction form
    70,392.81/105,623.43 = 30,944.82/x
  3. Step 3: Cross multiply
    70,392.81x = 105,623.43 × 30,944.82
  4. Step 4: Simplify right side
    70,392.81x = 3,268,498,029.13
  5. Step 5: Solve for x
    x = 3,268,498,029.13/70,392.81
  6. Step 6: Final answer
    x = 46,432.27

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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.