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Finding the Fourth Proportional to 50,820.48, 76,232.88 and 15,783.84

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Solution

The fourth proportional to 50,820.48, 76,232.88 and 15,783.84 is: 23,676.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,820.48 : 76,232.88 = 15,783.84 : x
  2. Step 2: Convert to fraction form
    50,820.48/76,232.88 = 15,783.84/x
  3. Step 3: Cross multiply
    50,820.48x = 76,232.88 × 15,783.84
  4. Step 4: Simplify right side
    50,820.48x = 1,203,247,580.66
  5. Step 5: Solve for x
    x = 1,203,247,580.66/50,820.48
  6. Step 6: Final answer
    x = 23,676.43

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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.