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Finding the Fourth Proportional to 36,480, 54,682.60 and 27,696.32

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Solution

The fourth proportional to 36,480, 54,682.60 and 27,696.32 is: 41,516.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,480 : 54,682.60 = 27,696.32 : x
  2. Step 2: Convert to fraction form
    36,480/54,682.60 = 27,696.32/x
  3. Step 3: Cross multiply
    36,480x = 54,682.60 × 27,696.32
  4. Step 4: Simplify right side
    36,480x = 1,514,506,788.03
  5. Step 5: Solve for x
    x = 1,514,506,788.03/36,480
  6. Step 6: Final answer
    x = 41,516.09

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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.