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Finding the Fourth Proportional to 36,807.16, 50,809.14 and 27,857.16

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Solution

The fourth proportional to 36,807.16, 50,809.14 and 27,857.16 is: 38,454.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,807.16 : 50,809.14 = 27,857.16 : x
  2. Step 2: Convert to fraction form
    36,807.16/50,809.14 = 27,857.16/x
  3. Step 3: Cross multiply
    36,807.16x = 50,809.14 × 27,857.16
  4. Step 4: Simplify right side
    36,807.16x = 1,415,398,342.44
  5. Step 5: Solve for x
    x = 1,415,398,342.44/36,807.16
  6. Step 6: Final answer
    x = 38,454.43

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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.