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Finding the Fourth Proportional to 48,809.56, 73,225.42 and 17,644.82

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Solution

The fourth proportional to 48,809.56, 73,225.42 and 17,644.82 is: 26,471.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,809.56 : 73,225.42 = 17,644.82 : x
  2. Step 2: Convert to fraction form
    48,809.56/73,225.42 = 17,644.82/x
  3. Step 3: Cross multiply
    48,809.56x = 73,225.42 × 17,644.82
  4. Step 4: Simplify right side
    48,809.56x = 1,292,049,355.32
  5. Step 5: Solve for x
    x = 1,292,049,355.32/48,809.56
  6. Step 6: Final answer
    x = 26,471.24

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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.