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Finding the Fourth Proportional to 30,230.96, 45,346.54 and 9,171.18

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Solution

The fourth proportional to 30,230.96, 45,346.54 and 9,171.18 is: 13,756.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,230.96 : 45,346.54 = 9,171.18 : x
  2. Step 2: Convert to fraction form
    30,230.96/45,346.54 = 9,171.18/x
  3. Step 3: Cross multiply
    30,230.96x = 45,346.54 × 9,171.18
  4. Step 4: Simplify right side
    30,230.96x = 415,881,280.72
  5. Step 5: Solve for x
    x = 415,881,280.72/30,230.96
  6. Step 6: Final answer
    x = 13,756.80

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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.