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Finding the Fourth Proportional to 50,471.29, 69,649.46 and 27,812.39

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Solution

The fourth proportional to 50,471.29, 69,649.46 and 27,812.39 is: 38,380.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,471.29 : 69,649.46 = 27,812.39 : x
  2. Step 2: Convert to fraction form
    50,471.29/69,649.46 = 27,812.39/x
  3. Step 3: Cross multiply
    50,471.29x = 69,649.46 × 27,812.39
  4. Step 4: Simplify right side
    50,471.29x = 1,937,117,457.50
  5. Step 5: Solve for x
    x = 1,937,117,457.50/50,471.29
  6. Step 6: Final answer
    x = 38,380.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.