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Finding the Fourth Proportional to 30,723.12, 46,082.88 and 9,945

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Solution

The fourth proportional to 30,723.12, 46,082.88 and 9,945 is: 14,916.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,723.12 : 46,082.88 = 9,945 : x
  2. Step 2: Convert to fraction form
    30,723.12/46,082.88 = 9,945/x
  3. Step 3: Cross multiply
    30,723.12x = 46,082.88 × 9,945
  4. Step 4: Simplify right side
    30,723.12x = 458,294,241.60
  5. Step 5: Solve for x
    x = 458,294,241.60/30,723.12
  6. Step 6: Final answer
    x = 14,916.92

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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.