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Finding the Fourth Proportional to 76,249, 114,381.50 and 20,845

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Solution

The fourth proportional to 76,249, 114,381.50 and 20,845 is: 31,269.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,249 : 114,381.50 = 20,845 : x
  2. Step 2: Convert to fraction form
    76,249/114,381.50 = 20,845/x
  3. Step 3: Cross multiply
    76,249x = 114,381.50 × 20,845
  4. Step 4: Simplify right side
    76,249x = 2,384,282,367.50
  5. Step 5: Solve for x
    x = 2,384,282,367.50/76,249
  6. Step 6: Final answer
    x = 31,269.69

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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.