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Finding the Fourth Proportional to 50,476.80, 69,657.05 and 27,817.89

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Solution

The fourth proportional to 50,476.80, 69,657.05 and 27,817.89 is: 38,388.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,476.80 : 69,657.05 = 27,817.89 : x
  2. Step 2: Convert to fraction form
    50,476.80/69,657.05 = 27,817.89/x
  3. Step 3: Cross multiply
    50,476.80x = 69,657.05 × 27,817.89
  4. Step 4: Simplify right side
    50,476.80x = 1,937,711,667.25
  5. Step 5: Solve for x
    x = 1,937,711,667.25/50,476.80
  6. Step 6: Final answer
    x = 38,388.17

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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.