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Finding the Fourth Proportional to 30,431.85, 45,647.76 and 12,662.16

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Solution

The fourth proportional to 30,431.85, 45,647.76 and 12,662.16 is: 18,993.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,431.85 : 45,647.76 = 12,662.16 : x
  2. Step 2: Convert to fraction form
    30,431.85/45,647.76 = 12,662.16/x
  3. Step 3: Cross multiply
    30,431.85x = 45,647.76 × 12,662.16
  4. Step 4: Simplify right side
    30,431.85x = 577,999,240.76
  5. Step 5: Solve for x
    x = 577,999,240.76/30,431.85
  6. Step 6: Final answer
    x = 18,993.23

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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.