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Finding the Fourth Proportional to 70,822.20, 106,233.30 and 48,703.80

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Solution

The fourth proportional to 70,822.20, 106,233.30 and 48,703.80 is: 73,055.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,822.20 : 106,233.30 = 48,703.80 : x
  2. Step 2: Convert to fraction form
    70,822.20/106,233.30 = 48,703.80/x
  3. Step 3: Cross multiply
    70,822.20x = 106,233.30 × 48,703.80
  4. Step 4: Simplify right side
    70,822.20x = 5,173,965,396.54
  5. Step 5: Solve for x
    x = 5,173,965,396.54/70,822.20
  6. Step 6: Final answer
    x = 73,055.70

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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.