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Finding the Fourth Proportional to 30,489.36, 45,735.57 and 9,714.48

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Solution

The fourth proportional to 30,489.36, 45,735.57 and 9,714.48 is: 14,572.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,489.36 : 45,735.57 = 9,714.48 : x
  2. Step 2: Convert to fraction form
    30,489.36/45,735.57 = 9,714.48/x
  3. Step 3: Cross multiply
    30,489.36x = 45,735.57 × 9,714.48
  4. Step 4: Simplify right side
    30,489.36x = 444,297,280.05
  5. Step 5: Solve for x
    x = 444,297,280.05/30,489.36
  6. Step 6: Final answer
    x = 14,572.21

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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.