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Finding the Fourth Proportional to 27,464.38, 37,904.43 and 15,527.71

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Solution

The fourth proportional to 27,464.38, 37,904.43 and 15,527.71 is: 21,430.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,464.38 : 37,904.43 = 15,527.71 : x
  2. Step 2: Convert to fraction form
    27,464.38/37,904.43 = 15,527.71/x
  3. Step 3: Cross multiply
    27,464.38x = 37,904.43 × 15,527.71
  4. Step 4: Simplify right side
    27,464.38x = 588,568,996.76
  5. Step 5: Solve for x
    x = 588,568,996.76/27,464.38
  6. Step 6: Final answer
    x = 21,430.27

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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.