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Finding the Fourth Proportional to 76,049.68, 114,090.80 and 22,745.84

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Solution

The fourth proportional to 76,049.68, 114,090.80 and 22,745.84 is: 34,123.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,049.68 : 114,090.80 = 22,745.84 : x
  2. Step 2: Convert to fraction form
    76,049.68/114,090.80 = 22,745.84/x
  3. Step 3: Cross multiply
    76,049.68x = 114,090.80 × 22,745.84
  4. Step 4: Simplify right side
    76,049.68x = 2,595,091,082.27
  5. Step 5: Solve for x
    x = 2,595,091,082.27/76,049.68
  6. Step 6: Final answer
    x = 34,123.63

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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.