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Finding the Fourth Proportional to 75,502.96, 113,254.74 and 22,912.90

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Solution

The fourth proportional to 75,502.96, 113,254.74 and 22,912.90 is: 34,369.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,502.96 : 113,254.74 = 22,912.90 : x
  2. Step 2: Convert to fraction form
    75,502.96/113,254.74 = 22,912.90/x
  3. Step 3: Cross multiply
    75,502.96x = 113,254.74 × 22,912.90
  4. Step 4: Simplify right side
    75,502.96x = 2,594,994,249.01
  5. Step 5: Solve for x
    x = 2,594,994,249.01/75,502.96
  6. Step 6: Final answer
    x = 34,369.44

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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.