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Finding the Fourth Proportional to 73,722.66, 101,728.35 and 41,882.64

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Solution

The fourth proportional to 73,722.66, 101,728.35 and 41,882.64 is: 57,792.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,722.66 : 101,728.35 = 41,882.64 : x
  2. Step 2: Convert to fraction form
    73,722.66/101,728.35 = 41,882.64/x
  3. Step 3: Cross multiply
    73,722.66x = 101,728.35 × 41,882.64
  4. Step 4: Simplify right side
    73,722.66x = 4,260,651,860.84
  5. Step 5: Solve for x
    x = 4,260,651,860.84/73,722.66
  6. Step 6: Final answer
    x = 57,792.98

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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.