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Finding the Fourth Proportional to 37,857.66, 52,242.87 and 20,863.48

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Solution

The fourth proportional to 37,857.66, 52,242.87 and 20,863.48 is: 28,791.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,857.66 : 52,242.87 = 20,863.48 : x
  2. Step 2: Convert to fraction form
    37,857.66/52,242.87 = 20,863.48/x
  3. Step 3: Cross multiply
    37,857.66x = 52,242.87 × 20,863.48
  4. Step 4: Simplify right side
    37,857.66x = 1,089,968,073.39
  5. Step 5: Solve for x
    x = 1,089,968,073.39/37,857.66
  6. Step 6: Final answer
    x = 28,791.22

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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.