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Finding the Fourth Proportional to 37,707.74, 52,001.92 and 25,626.24

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Solution

The fourth proportional to 37,707.74, 52,001.92 and 25,626.24 is: 35,340.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,707.74 : 52,001.92 = 25,626.24 : x
  2. Step 2: Convert to fraction form
    37,707.74/52,001.92 = 25,626.24/x
  3. Step 3: Cross multiply
    37,707.74x = 52,001.92 × 25,626.24
  4. Step 4: Simplify right side
    37,707.74x = 1,332,613,682.38
  5. Step 5: Solve for x
    x = 1,332,613,682.38/37,707.74
  6. Step 6: Final answer
    x = 35,340.59

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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.