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Finding the Fourth Proportional to 36,878, 50,895.48 and 22,730.48

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Solution

The fourth proportional to 36,878, 50,895.48 and 22,730.48 is: 31,370.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,878 : 50,895.48 = 22,730.48 : x
  2. Step 2: Convert to fraction form
    36,878/50,895.48 = 22,730.48/x
  3. Step 3: Cross multiply
    36,878x = 50,895.48 × 22,730.48
  4. Step 4: Simplify right side
    36,878x = 1,156,878,690.23
  5. Step 5: Solve for x
    x = 1,156,878,690.23/36,878
  6. Step 6: Final answer
    x = 31,370.43

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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.