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Finding the Fourth Proportional to 50,878.12, 70,211.43 and 27,908.47

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Solution

The fourth proportional to 50,878.12, 70,211.43 and 27,908.47 is: 38,513.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,878.12 : 70,211.43 = 27,908.47 : x
  2. Step 2: Convert to fraction form
    50,878.12/70,211.43 = 27,908.47/x
  3. Step 3: Cross multiply
    50,878.12x = 70,211.43 × 27,908.47
  4. Step 4: Simplify right side
    50,878.12x = 1,959,493,657.58
  5. Step 5: Solve for x
    x = 1,959,493,657.58/50,878.12
  6. Step 6: Final answer
    x = 38,513.48

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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.