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Finding the Fourth Proportional to 41,530.32, 57,310.74 and 38,186.64

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Solution

The fourth proportional to 41,530.32, 57,310.74 and 38,186.64 is: 52,696.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,530.32 : 57,310.74 = 38,186.64 : x
  2. Step 2: Convert to fraction form
    41,530.32/57,310.74 = 38,186.64/x
  3. Step 3: Cross multiply
    41,530.32x = 57,310.74 × 38,186.64
  4. Step 4: Simplify right side
    41,530.32x = 2,188,504,596.51
  5. Step 5: Solve for x
    x = 2,188,504,596.51/41,530.32
  6. Step 6: Final answer
    x = 52,696.55

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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.