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Finding the Fourth Proportional to 36,874.28, 55,316.88 and 13,498.89

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Solution

The fourth proportional to 36,874.28, 55,316.88 and 13,498.89 is: 20,250.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,874.28 : 55,316.88 = 13,498.89 : x
  2. Step 2: Convert to fraction form
    36,874.28/55,316.88 = 13,498.89/x
  3. Step 3: Cross multiply
    36,874.28x = 55,316.88 × 13,498.89
  4. Step 4: Simplify right side
    36,874.28x = 746,716,478.26
  5. Step 5: Solve for x
    x = 746,716,478.26/36,874.28
  6. Step 6: Final answer
    x = 20,250.33

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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.