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Finding the Fourth Proportional to 70,822.80, 106,234.20 and 48,369.60

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Solution

The fourth proportional to 70,822.80, 106,234.20 and 48,369.60 is: 72,554.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,822.80 : 106,234.20 = 48,369.60 : x
  2. Step 2: Convert to fraction form
    70,822.80/106,234.20 = 48,369.60/x
  3. Step 3: Cross multiply
    70,822.80x = 106,234.20 × 48,369.60
  4. Step 4: Simplify right side
    70,822.80x = 5,138,505,760.32
  5. Step 5: Solve for x
    x = 5,138,505,760.32/70,822.80
  6. Step 6: Final answer
    x = 72,554.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.