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Finding the Fourth Proportional to 47,722.96, 65,883.72 and 36,563.92

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Solution

The fourth proportional to 47,722.96, 65,883.72 and 36,563.92 is: 50,478.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,722.96 : 65,883.72 = 36,563.92 : x
  2. Step 2: Convert to fraction form
    47,722.96/65,883.72 = 36,563.92/x
  3. Step 3: Cross multiply
    47,722.96x = 65,883.72 × 36,563.92
  4. Step 4: Simplify right side
    47,722.96x = 2,408,967,067.38
  5. Step 5: Solve for x
    x = 2,408,967,067.38/47,722.96
  6. Step 6: Final answer
    x = 50,478.16

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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.