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Finding the Fourth Proportional to 50,719.50, 76,079.34 and 13,783.50

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Solution

The fourth proportional to 50,719.50, 76,079.34 and 13,783.50 is: 20,675.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,719.50 : 76,079.34 = 13,783.50 : x
  2. Step 2: Convert to fraction form
    50,719.50/76,079.34 = 13,783.50/x
  3. Step 3: Cross multiply
    50,719.50x = 76,079.34 × 13,783.50
  4. Step 4: Simplify right side
    50,719.50x = 1,048,639,582.89
  5. Step 5: Solve for x
    x = 1,048,639,582.89/50,719.50
  6. Step 6: Final answer
    x = 20,675.27

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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.