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Finding the Fourth Proportional to 48,544.48, 72,845.03 and 20,462.82

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Solution

The fourth proportional to 48,544.48, 72,845.03 and 20,462.82 is: 30,706.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,544.48 : 72,845.03 = 20,462.82 : x
  2. Step 2: Convert to fraction form
    48,544.48/72,845.03 = 20,462.82/x
  3. Step 3: Cross multiply
    48,544.48x = 72,845.03 × 20,462.82
  4. Step 4: Simplify right side
    48,544.48x = 1,490,614,736.78
  5. Step 5: Solve for x
    x = 1,490,614,736.78/48,544.48
  6. Step 6: Final answer
    x = 30,706.16

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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.