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Finding the Fourth Proportional to 50,783.20, 76,045.20 and 40,415.20

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Solution

The fourth proportional to 50,783.20, 76,045.20 and 40,415.20 is: 60,519.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,783.20 : 76,045.20 = 40,415.20 : x
  2. Step 2: Convert to fraction form
    50,783.20/76,045.20 = 40,415.20/x
  3. Step 3: Cross multiply
    50,783.20x = 76,045.20 × 40,415.20
  4. Step 4: Simplify right side
    50,783.20x = 3,073,381,967.04
  5. Step 5: Solve for x
    x = 3,073,381,967.04/50,783.20
  6. Step 6: Final answer
    x = 60,519.66

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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.