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Finding the Fourth Proportional to 50,380, 69,508.14 and 32,443.36

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Solution

The fourth proportional to 50,380, 69,508.14 and 32,443.36 is: 44,761.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,380 : 69,508.14 = 32,443.36 : x
  2. Step 2: Convert to fraction form
    50,380/69,508.14 = 32,443.36/x
  3. Step 3: Cross multiply
    50,380x = 69,508.14 × 32,443.36
  4. Step 4: Simplify right side
    50,380x = 2,255,077,608.95
  5. Step 5: Solve for x
    x = 2,255,077,608.95/50,380
  6. Step 6: Final answer
    x = 44,761.37

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1.5x scale

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.