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Finding the Fourth Proportional to 30,230.16, 45,327.42 and 9,163.80

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Solution

The fourth proportional to 30,230.16, 45,327.42 and 9,163.80 is: 13,740.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,230.16 : 45,327.42 = 9,163.80 : x
  2. Step 2: Convert to fraction form
    30,230.16/45,327.42 = 9,163.80/x
  3. Step 3: Cross multiply
    30,230.16x = 45,327.42 × 9,163.80
  4. Step 4: Simplify right side
    30,230.16x = 415,371,411.40
  5. Step 5: Solve for x
    x = 415,371,411.40/30,230.16
  6. Step 6: Final answer
    x = 13,740.30

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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.