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Finding the Fourth Proportional to 36,464.50, 50,321.06 and 19,697.50

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Solution

The fourth proportional to 36,464.50, 50,321.06 and 19,697.50 is: 27,182.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,464.50 : 50,321.06 = 19,697.50 : x
  2. Step 2: Convert to fraction form
    36,464.50/50,321.06 = 19,697.50/x
  3. Step 3: Cross multiply
    36,464.50x = 50,321.06 × 19,697.50
  4. Step 4: Simplify right side
    36,464.50x = 991,199,079.35
  5. Step 5: Solve for x
    x = 991,199,079.35/36,464.50
  6. Step 6: Final answer
    x = 27,182.58

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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.