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Finding the Fourth Proportional to 30,293.15, 45,446.25 and 9,232.64

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Solution

The fourth proportional to 30,293.15, 45,446.25 and 9,232.64 is: 13,850.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,293.15 : 45,446.25 = 9,232.64 : x
  2. Step 2: Convert to fraction form
    30,293.15/45,446.25 = 9,232.64/x
  3. Step 3: Cross multiply
    30,293.15x = 45,446.25 × 9,232.64
  4. Step 4: Simplify right side
    30,293.15x = 419,588,638.37
  5. Step 5: Solve for x
    x = 419,588,638.37/30,293.15
  6. Step 6: Final answer
    x = 13,850.94

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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.