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Finding the Fourth Proportional to 65,225.28, 90,027 and 36,947.64

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Solution

The fourth proportional to 65,225.28, 90,027 and 36,947.64 is: 50,996.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,225.28 : 90,027 = 36,947.64 : x
  2. Step 2: Convert to fraction form
    65,225.28/90,027 = 36,947.64/x
  3. Step 3: Cross multiply
    65,225.28x = 90,027 × 36,947.64
  4. Step 4: Simplify right side
    65,225.28x = 3,326,285,186.28
  5. Step 5: Solve for x
    x = 3,326,285,186.28/65,225.28
  6. Step 6: Final answer
    x = 50,996.87

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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.