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Finding the Fourth Proportional to 41,536.32, 57,319.02 and 38,192.64

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Solution

The fourth proportional to 41,536.32, 57,319.02 and 38,192.64 is: 52,704.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,536.32 : 57,319.02 = 38,192.64 : x
  2. Step 2: Convert to fraction form
    41,536.32/57,319.02 = 38,192.64/x
  3. Step 3: Cross multiply
    41,536.32x = 57,319.02 × 38,192.64
  4. Step 4: Simplify right side
    41,536.32x = 2,189,164,696.01
  5. Step 5: Solve for x
    x = 2,189,164,696.01/41,536.32
  6. Step 6: Final answer
    x = 52,704.83

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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.