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Finding the Fourth Proportional to 36,596.10, 54,894.75 and 10,301.47

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Solution

The fourth proportional to 36,596.10, 54,894.75 and 10,301.47 is: 15,452.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,596.10 : 54,894.75 = 10,301.47 : x
  2. Step 2: Convert to fraction form
    36,596.10/54,894.75 = 10,301.47/x
  3. Step 3: Cross multiply
    36,596.10x = 54,894.75 × 10,301.47
  4. Step 4: Simplify right side
    36,596.10x = 565,496,620.28
  5. Step 5: Solve for x
    x = 565,496,620.28/36,596.10
  6. Step 6: Final answer
    x = 15,452.37

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