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Finding the Fourth Proportional to 30,376.71, 45,549.27 and 13,728.78

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Solution

The fourth proportional to 30,376.71, 45,549.27 and 13,728.78 is: 20,586.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,376.71 : 45,549.27 = 13,728.78 : x
  2. Step 2: Convert to fraction form
    30,376.71/45,549.27 = 13,728.78/x
  3. Step 3: Cross multiply
    30,376.71x = 45,549.27 × 13,728.78
  4. Step 4: Simplify right side
    30,376.71x = 625,335,906.99
  5. Step 5: Solve for x
    x = 625,335,906.99/30,376.71
  6. Step 6: Final answer
    x = 20,586.03

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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.