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Finding the Fourth Proportional to 49,538.44, 74,308.79 and 12,098.82

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Solution

The fourth proportional to 49,538.44, 74,308.79 and 12,098.82 is: 18,148.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,538.44 : 74,308.79 = 12,098.82 : x
  2. Step 2: Convert to fraction form
    49,538.44/74,308.79 = 12,098.82/x
  3. Step 3: Cross multiply
    49,538.44x = 74,308.79 × 12,098.82
  4. Step 4: Simplify right side
    49,538.44x = 899,048,565.55
  5. Step 5: Solve for x
    x = 899,048,565.55/49,538.44
  6. Step 6: Final answer
    x = 18,148.51

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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.