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Finding the Fourth Proportional to 27,944.40, 41,965.20 and 14,822.40

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Solution

The fourth proportional to 27,944.40, 41,965.20 and 14,822.40 is: 22,259.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,944.40 : 41,965.20 = 14,822.40 : x
  2. Step 2: Convert to fraction form
    27,944.40/41,965.20 = 14,822.40/x
  3. Step 3: Cross multiply
    27,944.40x = 41,965.20 × 14,822.40
  4. Step 4: Simplify right side
    27,944.40x = 622,024,980.48
  5. Step 5: Solve for x
    x = 622,024,980.48/27,944.40
  6. Step 6: Final answer
    x = 22,259.38

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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.