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Finding the Fourth Proportional to 73,644.04, 101,596.44 and 49,762

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Solution

The fourth proportional to 73,644.04, 101,596.44 and 49,762 is: 68,649.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,644.04 : 101,596.44 = 49,762 : x
  2. Step 2: Convert to fraction form
    73,644.04/101,596.44 = 49,762/x
  3. Step 3: Cross multiply
    73,644.04x = 101,596.44 × 49,762
  4. Step 4: Simplify right side
    73,644.04x = 5,055,642,047.28
  5. Step 5: Solve for x
    x = 5,055,642,047.28/73,644.04
  6. Step 6: Final answer
    x = 68,649.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.