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Finding the Fourth Proportional to 47,722.50, 65,857.05 and 27,850.50

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Solution

The fourth proportional to 47,722.50, 65,857.05 and 27,850.50 is: 38,433.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,722.50 : 65,857.05 = 27,850.50 : x
  2. Step 2: Convert to fraction form
    47,722.50/65,857.05 = 27,850.50/x
  3. Step 3: Cross multiply
    47,722.50x = 65,857.05 × 27,850.50
  4. Step 4: Simplify right side
    47,722.50x = 1,834,151,771.03
  5. Step 5: Solve for x
    x = 1,834,151,771.03/47,722.50
  6. Step 6: Final answer
    x = 38,433.69

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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.