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Finding the Fourth Proportional to 50,207.50, 69,287.16 and 27,851.50

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Solution

The fourth proportional to 50,207.50, 69,287.16 and 27,851.50 is: 38,435.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,207.50 : 69,287.16 = 27,851.50 : x
  2. Step 2: Convert to fraction form
    50,207.50/69,287.16 = 27,851.50/x
  3. Step 3: Cross multiply
    50,207.50x = 69,287.16 × 27,851.50
  4. Step 4: Simplify right side
    50,207.50x = 1,929,751,336.74
  5. Step 5: Solve for x
    x = 1,929,751,336.74/50,207.50
  6. Step 6: Final answer
    x = 38,435.52

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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.