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Finding the Fourth Proportional to 76,213.70, 114,278.70 and 23,608.58

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Solution

The fourth proportional to 76,213.70, 114,278.70 and 23,608.58 is: 35,399.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,213.70 : 114,278.70 = 23,608.58 : x
  2. Step 2: Convert to fraction form
    76,213.70/114,278.70 = 23,608.58/x
  3. Step 3: Cross multiply
    76,213.70x = 114,278.70 × 23,608.58
  4. Step 4: Simplify right side
    76,213.70x = 2,697,957,831.25
  5. Step 5: Solve for x
    x = 2,697,957,831.25/76,213.70
  6. Step 6: Final answer
    x = 35,399.91

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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.