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Finding the Fourth Proportional to 30,056.56, 45,082.20 and 9,278

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Solution

The fourth proportional to 30,056.56, 45,082.20 and 9,278 is: 13,916.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,056.56 : 45,082.20 = 9,278 : x
  2. Step 2: Convert to fraction form
    30,056.56/45,082.20 = 9,278/x
  3. Step 3: Cross multiply
    30,056.56x = 45,082.20 × 9,278
  4. Step 4: Simplify right side
    30,056.56x = 418,272,651.60
  5. Step 5: Solve for x
    x = 418,272,651.60/30,056.56
  6. Step 6: Final answer
    x = 13,916.19

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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.