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Finding the Fourth Proportional to 31,624.56, 47,410.56 and 11,892.24

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Solution

The fourth proportional to 31,624.56, 47,410.56 and 11,892.24 is: 17,828.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,624.56 : 47,410.56 = 11,892.24 : x
  2. Step 2: Convert to fraction form
    31,624.56/47,410.56 = 11,892.24/x
  3. Step 3: Cross multiply
    31,624.56x = 47,410.56 × 11,892.24
  4. Step 4: Simplify right side
    31,624.56x = 563,817,758.05
  5. Step 5: Solve for x
    x = 563,817,758.05/31,624.56
  6. Step 6: Final answer
    x = 17,828.48

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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.