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Finding the Fourth Proportional to 30,174.94, 45,269.72 and 9,398.44

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Solution

The fourth proportional to 30,174.94, 45,269.72 and 9,398.44 is: 14,099.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,174.94 : 45,269.72 = 9,398.44 : x
  2. Step 2: Convert to fraction form
    30,174.94/45,269.72 = 9,398.44/x
  3. Step 3: Cross multiply
    30,174.94x = 45,269.72 × 9,398.44
  4. Step 4: Simplify right side
    30,174.94x = 425,464,657.56
  5. Step 5: Solve for x
    x = 425,464,657.56/30,174.94
  6. Step 6: Final answer
    x = 14,099.94

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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.