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Finding the Fourth Proportional to 27,409.34, 37,824.62 and 15,472.42

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Solution

The fourth proportional to 27,409.34, 37,824.62 and 15,472.42 is: 21,351.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,409.34 : 37,824.62 = 15,472.42 : x
  2. Step 2: Convert to fraction form
    27,409.34/37,824.62 = 15,472.42/x
  3. Step 3: Cross multiply
    27,409.34x = 37,824.62 × 15,472.42
  4. Step 4: Simplify right side
    27,409.34x = 585,238,322.09
  5. Step 5: Solve for x
    x = 585,238,322.09/27,409.34
  6. Step 6: Final answer
    x = 21,351.79

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1.5x scale

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.