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Finding the Fourth Proportional to 36,585.75, 50,488.34 and 19,818.75

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Solution

The fourth proportional to 36,585.75, 50,488.34 and 19,818.75 is: 27,349.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,585.75 : 50,488.34 = 19,818.75 : x
  2. Step 2: Convert to fraction form
    36,585.75/50,488.34 = 19,818.75/x
  3. Step 3: Cross multiply
    36,585.75x = 50,488.34 × 19,818.75
  4. Step 4: Simplify right side
    36,585.75x = 1,000,615,788.38
  5. Step 5: Solve for x
    x = 1,000,615,788.38/36,585.75
  6. Step 6: Final answer
    x = 27,349.88

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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.