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Finding the Fourth Proportional to 27,520.14, 37,978 and 14,944.88

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Solution

The fourth proportional to 27,520.14, 37,978 and 14,944.88 is: 20,624.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,520.14 : 37,978 = 14,944.88 : x
  2. Step 2: Convert to fraction form
    27,520.14/37,978 = 14,944.88/x
  3. Step 3: Cross multiply
    27,520.14x = 37,978 × 14,944.88
  4. Step 4: Simplify right side
    27,520.14x = 567,576,652.64
  5. Step 5: Solve for x
    x = 567,576,652.64/27,520.14
  6. Step 6: Final answer
    x = 20,624.05

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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.