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Finding the Fourth Proportional to 31,660.56, 47,464.56 and 11,928.24

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Solution

The fourth proportional to 31,660.56, 47,464.56 and 11,928.24 is: 17,882.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,660.56 : 47,464.56 = 11,928.24 : x
  2. Step 2: Convert to fraction form
    31,660.56/47,464.56 = 11,928.24/x
  3. Step 3: Cross multiply
    31,660.56x = 47,464.56 × 11,928.24
  4. Step 4: Simplify right side
    31,660.56x = 566,168,663.17
  5. Step 5: Solve for x
    x = 566,168,663.17/31,660.56
  6. Step 6: Final answer
    x = 17,882.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.