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Finding the Fourth Proportional to 50,047.54, 75,082.98 and 14,509.60

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Solution

The fourth proportional to 50,047.54, 75,082.98 and 14,509.60 is: 21,767.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,047.54 : 75,082.98 = 14,509.60 : x
  2. Step 2: Convert to fraction form
    50,047.54/75,082.98 = 14,509.60/x
  3. Step 3: Cross multiply
    50,047.54x = 75,082.98 × 14,509.60
  4. Step 4: Simplify right side
    50,047.54x = 1,089,423,631.19
  5. Step 5: Solve for x
    x = 1,089,423,631.19/50,047.54
  6. Step 6: Final answer
    x = 21,767.78

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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.