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Finding the Fourth Proportional to 38,396, 53,004.24 and 27,074.72

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Solution

The fourth proportional to 38,396, 53,004.24 and 27,074.72 is: 37,375.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,396 : 53,004.24 = 27,074.72 : x
  2. Step 2: Convert to fraction form
    38,396/53,004.24 = 27,074.72/x
  3. Step 3: Cross multiply
    38,396x = 53,004.24 × 27,074.72
  4. Step 4: Simplify right side
    38,396x = 1,435,074,956.81
  5. Step 5: Solve for x
    x = 1,435,074,956.81/38,396
  6. Step 6: Final answer
    x = 37,375.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.