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Finding the Fourth Proportional to 76,085.92, 114,129.42 and 23,494.24

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Solution

The fourth proportional to 76,085.92, 114,129.42 and 23,494.24 is: 35,241.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,085.92 : 114,129.42 = 23,494.24 : x
  2. Step 2: Convert to fraction form
    76,085.92/114,129.42 = 23,494.24/x
  3. Step 3: Cross multiply
    76,085.92x = 114,129.42 × 23,494.24
  4. Step 4: Simplify right side
    76,085.92x = 2,681,383,984.54
  5. Step 5: Solve for x
    x = 2,681,383,984.54/76,085.92
  6. Step 6: Final answer
    x = 35,241.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.