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Finding the Fourth Proportional to 36,838.63, 50,837.31 and 20,071.63

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Solution

The fourth proportional to 36,838.63, 50,837.31 and 20,071.63 is: 27,698.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,838.63 : 50,837.31 = 20,071.63 : x
  2. Step 2: Convert to fraction form
    36,838.63/50,837.31 = 20,071.63/x
  3. Step 3: Cross multiply
    36,838.63x = 50,837.31 × 20,071.63
  4. Step 4: Simplify right side
    36,838.63x = 1,020,387,321.97
  5. Step 5: Solve for x
    x = 1,020,387,321.97/36,838.63
  6. Step 6: Final answer
    x = 27,698.84

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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.