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Finding the Fourth Proportional to 30,361.69, 45,549.83 and 9,585.19

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Solution

The fourth proportional to 30,361.69, 45,549.83 and 9,585.19 is: 14,380.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,361.69 : 45,549.83 = 9,585.19 : x
  2. Step 2: Convert to fraction form
    30,361.69/45,549.83 = 9,585.19/x
  3. Step 3: Cross multiply
    30,361.69x = 45,549.83 × 9,585.19
  4. Step 4: Simplify right side
    30,361.69x = 436,603,613.22
  5. Step 5: Solve for x
    x = 436,603,613.22/30,361.69
  6. Step 6: Final answer
    x = 14,380.08

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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.