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Finding the Fourth Proportional to 83,027.25, 114,566.04 and 47,213.30

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Solution

The fourth proportional to 83,027.25, 114,566.04 and 47,213.30 is: 65,147.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,027.25 : 114,566.04 = 47,213.30 : x
  2. Step 2: Convert to fraction form
    83,027.25/114,566.04 = 47,213.30/x
  3. Step 3: Cross multiply
    83,027.25x = 114,566.04 × 47,213.30
  4. Step 4: Simplify right side
    83,027.25x = 5,409,040,243.50
  5. Step 5: Solve for x
    x = 5,409,040,243.50/83,027.25
  6. Step 6: Final answer
    x = 65,147.77

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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.