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Finding the Fourth Proportional to 48,270.80, 72,406.20 and 47,493.20

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Solution

The fourth proportional to 48,270.80, 72,406.20 and 47,493.20 is: 71,239.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,270.80 : 72,406.20 = 47,493.20 : x
  2. Step 2: Convert to fraction form
    48,270.80/72,406.20 = 47,493.20/x
  3. Step 3: Cross multiply
    48,270.80x = 72,406.20 × 47,493.20
  4. Step 4: Simplify right side
    48,270.80x = 3,438,802,137.84
  5. Step 5: Solve for x
    x = 3,438,802,137.84/48,270.80
  6. Step 6: Final answer
    x = 71,239.80

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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.