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Finding the Fourth Proportional to 50,314.68, 69,434.66 and 27,654.12

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Solution

The fourth proportional to 50,314.68, 69,434.66 and 27,654.12 is: 38,162.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,314.68 : 69,434.66 = 27,654.12 : x
  2. Step 2: Convert to fraction form
    50,314.68/69,434.66 = 27,654.12/x
  3. Step 3: Cross multiply
    50,314.68x = 69,434.66 × 27,654.12
  4. Step 4: Simplify right side
    50,314.68x = 1,920,154,419.80
  5. Step 5: Solve for x
    x = 1,920,154,419.80/50,314.68
  6. Step 6: Final answer
    x = 38,162.91

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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.