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Finding the Fourth Proportional to 50,476.05, 69,656.01 and 27,817.14

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Solution

The fourth proportional to 50,476.05, 69,656.01 and 27,817.14 is: 38,387.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,476.05 : 69,656.01 = 27,817.14 : x
  2. Step 2: Convert to fraction form
    50,476.05/69,656.01 = 27,817.14/x
  3. Step 3: Cross multiply
    50,476.05x = 69,656.01 × 27,817.14
  4. Step 4: Simplify right side
    50,476.05x = 1,937,630,982.01
  5. Step 5: Solve for x
    x = 1,937,630,982.01/50,476.05
  6. Step 6: Final answer
    x = 38,387.14

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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.