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Finding the Fourth Proportional to 36,585, 54,876.24 and 15,511.48

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Solution

The fourth proportional to 36,585, 54,876.24 and 15,511.48 is: 23,266.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,585 : 54,876.24 = 15,511.48 : x
  2. Step 2: Convert to fraction form
    36,585/54,876.24 = 15,511.48/x
  3. Step 3: Cross multiply
    36,585x = 54,876.24 × 15,511.48
  4. Step 4: Simplify right side
    36,585x = 851,211,699.24
  5. Step 5: Solve for x
    x = 851,211,699.24/36,585
  6. Step 6: Final answer
    x = 23,266.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.