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Finding the Fourth Proportional to 73,774.89, 101,809.67 and 40,241.61

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Solution

The fourth proportional to 73,774.89, 101,809.67 and 40,241.61 is: 55,533.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,774.89 : 101,809.67 = 40,241.61 : x
  2. Step 2: Convert to fraction form
    73,774.89/101,809.67 = 40,241.61/x
  3. Step 3: Cross multiply
    73,774.89x = 101,809.67 × 40,241.61
  4. Step 4: Simplify right side
    73,774.89x = 4,096,984,833.16
  5. Step 5: Solve for x
    x = 4,096,984,833.16/73,774.89
  6. Step 6: Final answer
    x = 55,533.59

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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.