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Finding the Fourth Proportional to 48,723.20, 73,084.80 and 21,021.20

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Solution

The fourth proportional to 48,723.20, 73,084.80 and 21,021.20 is: 31,531.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,723.20 : 73,084.80 = 21,021.20 : x
  2. Step 2: Convert to fraction form
    48,723.20/73,084.80 = 21,021.20/x
  3. Step 3: Cross multiply
    48,723.20x = 73,084.80 × 21,021.20
  4. Step 4: Simplify right side
    48,723.20x = 1,536,330,197.76
  5. Step 5: Solve for x
    x = 1,536,330,197.76/48,723.20
  6. Step 6: Final answer
    x = 31,531.80

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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.