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Finding the Fourth Proportional to 36,650, 54,971.04 and 24,879.20

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Solution

The fourth proportional to 36,650, 54,971.04 and 24,879.20 is: 37,316.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,650 : 54,971.04 = 24,879.20 : x
  2. Step 2: Convert to fraction form
    36,650/54,971.04 = 24,879.20/x
  3. Step 3: Cross multiply
    36,650x = 54,971.04 × 24,879.20
  4. Step 4: Simplify right side
    36,650x = 1,367,635,498.37
  5. Step 5: Solve for x
    x = 1,367,635,498.37/36,650
  6. Step 6: Final answer
    x = 37,316.11

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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.