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Finding the Fourth Proportional to 27,412.52, 37,831 and 15,471.52

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Solution

The fourth proportional to 27,412.52, 37,831 and 15,471.52 is: 21,351.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,412.52 : 37,831 = 15,471.52 : x
  2. Step 2: Convert to fraction form
    27,412.52/37,831 = 15,471.52/x
  3. Step 3: Cross multiply
    27,412.52x = 37,831 × 15,471.52
  4. Step 4: Simplify right side
    27,412.52x = 585,303,073.12
  5. Step 5: Solve for x
    x = 585,303,073.12/27,412.52
  6. Step 6: Final answer
    x = 21,351.67

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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.