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Finding the Fourth Proportional to 36,705.56, 50,578.02 and 28,207.24

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Solution

The fourth proportional to 36,705.56, 50,578.02 and 28,207.24 is: 38,867.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,705.56 : 50,578.02 = 28,207.24 : x
  2. Step 2: Convert to fraction form
    36,705.56/50,578.02 = 28,207.24/x
  3. Step 3: Cross multiply
    36,705.56x = 50,578.02 × 28,207.24
  4. Step 4: Simplify right side
    36,705.56x = 1,426,666,222.42
  5. Step 5: Solve for x
    x = 1,426,666,222.42/36,705.56
  6. Step 6: Final answer
    x = 38,867.86

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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.