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Finding the Fourth Proportional to 50,463.68, 69,637.32 and 27,802.20

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Solution

The fourth proportional to 50,463.68, 69,637.32 and 27,802.20 is: 38,365.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,463.68 : 69,637.32 = 27,802.20 : x
  2. Step 2: Convert to fraction form
    50,463.68/69,637.32 = 27,802.20/x
  3. Step 3: Cross multiply
    50,463.68x = 69,637.32 × 27,802.20
  4. Step 4: Simplify right side
    50,463.68x = 1,936,070,698.10
  5. Step 5: Solve for x
    x = 1,936,070,698.10/50,463.68
  6. Step 6: Final answer
    x = 38,365.63

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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.