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Finding the Fourth Proportional to 30,792.22, 46,183.47 and 13,019.20

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Solution

The fourth proportional to 30,792.22, 46,183.47 and 13,019.20 is: 19,526.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,792.22 : 46,183.47 = 13,019.20 : x
  2. Step 2: Convert to fraction form
    30,792.22/46,183.47 = 13,019.20/x
  3. Step 3: Cross multiply
    30,792.22x = 46,183.47 × 13,019.20
  4. Step 4: Simplify right side
    30,792.22x = 601,271,832.62
  5. Step 5: Solve for x
    x = 601,271,832.62/30,792.22
  6. Step 6: Final answer
    x = 19,526.75

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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.