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Finding the Fourth Proportional to 35,590.35, 53,389.17 and 12,213.75

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Solution

The fourth proportional to 35,590.35, 53,389.17 and 12,213.75 is: 18,321.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,590.35 : 53,389.17 = 12,213.75 : x
  2. Step 2: Convert to fraction form
    35,590.35/53,389.17 = 12,213.75/x
  3. Step 3: Cross multiply
    35,590.35x = 53,389.17 × 12,213.75
  4. Step 4: Simplify right side
    35,590.35x = 652,081,975.09
  5. Step 5: Solve for x
    x = 652,081,975.09/35,590.35
  6. Step 6: Final answer
    x = 18,321.88

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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.