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Finding the Fourth Proportional to 75,808.64, 113,672.75 and 23,204

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Solution

The fourth proportional to 75,808.64, 113,672.75 and 23,204 is: 34,793.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,808.64 : 113,672.75 = 23,204 : x
  2. Step 2: Convert to fraction form
    75,808.64/113,672.75 = 23,204/x
  3. Step 3: Cross multiply
    75,808.64x = 113,672.75 × 23,204
  4. Step 4: Simplify right side
    75,808.64x = 2,637,662,491
  5. Step 5: Solve for x
    x = 2,637,662,491/75,808.64
  6. Step 6: Final answer
    x = 34,793.69

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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.