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Finding the Fourth Proportional to 76,005, 114,022.62 and 23,412.24

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Solution

The fourth proportional to 76,005, 114,022.62 and 23,412.24 is: 35,123.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,005 : 114,022.62 = 23,412.24 : x
  2. Step 2: Convert to fraction form
    76,005/114,022.62 = 23,412.24/x
  3. Step 3: Cross multiply
    76,005x = 114,022.62 × 23,412.24
  4. Step 4: Simplify right side
    76,005x = 2,669,524,944.87
  5. Step 5: Solve for x
    x = 2,669,524,944.87/76,005
  6. Step 6: Final answer
    x = 35,123.02

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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.