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Finding the Fourth Proportional to 50,905.80, 70,257.24 and 30,765.60

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Solution

The fourth proportional to 50,905.80, 70,257.24 and 30,765.60 is: 42,460.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,905.80 : 70,257.24 = 30,765.60 : x
  2. Step 2: Convert to fraction form
    50,905.80/70,257.24 = 30,765.60/x
  3. Step 3: Cross multiply
    50,905.80x = 70,257.24 × 30,765.60
  4. Step 4: Simplify right side
    50,905.80x = 2,161,506,142.94
  5. Step 5: Solve for x
    x = 2,161,506,142.94/50,905.80
  6. Step 6: Final answer
    x = 42,460.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.