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Finding the Fourth Proportional to 50,255.10, 69,351.53 and 27,594

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Solution

The fourth proportional to 50,255.10, 69,351.53 and 27,594 is: 38,079.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,255.10 : 69,351.53 = 27,594 : x
  2. Step 2: Convert to fraction form
    50,255.10/69,351.53 = 27,594/x
  3. Step 3: Cross multiply
    50,255.10x = 69,351.53 × 27,594
  4. Step 4: Simplify right side
    50,255.10x = 1,913,685,980.85
  5. Step 5: Solve for x
    x = 1,913,685,980.85/50,255.10
  6. Step 6: Final answer
    x = 38,079.44

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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.