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Finding the Fourth Proportional to 83,027.44, 114,581.16 and 47,220.72

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Solution

The fourth proportional to 83,027.44, 114,581.16 and 47,220.72 is: 65,166.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,027.44 : 114,581.16 = 47,220.72 : x
  2. Step 2: Convert to fraction form
    83,027.44/114,581.16 = 47,220.72/x
  3. Step 3: Cross multiply
    83,027.44x = 114,581.16 × 47,220.72
  4. Step 4: Simplify right side
    83,027.44x = 5,410,604,873.64
  5. Step 5: Solve for x
    x = 5,410,604,873.64/83,027.44
  6. Step 6: Final answer
    x = 65,166.47

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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.