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Finding the Fourth Proportional to 36,585, 50,487.84 and 19,818

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Solution

The fourth proportional to 36,585, 50,487.84 and 19,818 is: 27,349.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,585 : 50,487.84 = 19,818 : x
  2. Step 2: Convert to fraction form
    36,585/50,487.84 = 19,818/x
  3. Step 3: Cross multiply
    36,585x = 50,487.84 × 19,818
  4. Step 4: Simplify right side
    36,585x = 1,000,568,013.12
  5. Step 5: Solve for x
    x = 1,000,568,013.12/36,585
  6. Step 6: Final answer
    x = 27,349.13

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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.