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Finding the Fourth Proportional to 32,767.80, 45,183.86 and 22,139

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Solution

The fourth proportional to 32,767.80, 45,183.86 and 22,139 is: 30,527.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,767.80 : 45,183.86 = 22,139 : x
  2. Step 2: Convert to fraction form
    32,767.80/45,183.86 = 22,139/x
  3. Step 3: Cross multiply
    32,767.80x = 45,183.86 × 22,139
  4. Step 4: Simplify right side
    32,767.80x = 1,000,325,476.54
  5. Step 5: Solve for x
    x = 1,000,325,476.54/32,767.80
  6. Step 6: Final answer
    x = 30,527.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.