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Finding the Fourth Proportional to 32,794.81, 49,150.69 and 20,944.00

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Solution

The fourth proportional to 32,794.81, 49,150.69 and 20,944.00 is: 31,389.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,794.81 : 49,150.69 = 20,944.00 : x
  2. Step 2: Convert to fraction form
    32,794.81/49,150.69 = 20,944.00/x
  3. Step 3: Cross multiply
    32,794.81x = 49,150.69 × 20,944.00
  4. Step 4: Simplify right side
    32,794.81x = 1,029,412,270.41
  5. Step 5: Solve for x
    x = 1,029,412,270.41/32,794.81
  6. Step 6: Final answer
    x = 31,389.49

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1.5x scale

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.