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Finding the Fourth Proportional to 50,047.28, 75,082.61 and 14,509.34

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Solution

The fourth proportional to 50,047.28, 75,082.61 and 14,509.34 is: 21,767.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,047.28 : 75,082.61 = 14,509.34 : x
  2. Step 2: Convert to fraction form
    50,047.28/75,082.61 = 14,509.34/x
  3. Step 3: Cross multiply
    50,047.28x = 75,082.61 × 14,509.34
  4. Step 4: Simplify right side
    50,047.28x = 1,089,399,325.59
  5. Step 5: Solve for x
    x = 1,089,399,325.59/50,047.28
  6. Step 6: Final answer
    x = 21,767.40

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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.