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Finding the Fourth Proportional to 27,346.38, 37,728.79 and 22,301.83

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Solution

The fourth proportional to 27,346.38, 37,728.79 and 22,301.83 is: 30,769.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,346.38 : 37,728.79 = 22,301.83 : x
  2. Step 2: Convert to fraction form
    27,346.38/37,728.79 = 22,301.83/x
  3. Step 3: Cross multiply
    27,346.38x = 37,728.79 × 22,301.83
  4. Step 4: Simplify right side
    27,346.38x = 841,421,052.09
  5. Step 5: Solve for x
    x = 841,421,052.09/27,346.38
  6. Step 6: Final answer
    x = 30,769.01

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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.