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Finding the Fourth Proportional to 73,246.34, 101,081.94 and 41,420

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Solution

The fourth proportional to 73,246.34, 101,081.94 and 41,420 is: 57,160.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,246.34 : 101,081.94 = 41,420 : x
  2. Step 2: Convert to fraction form
    73,246.34/101,081.94 = 41,420/x
  3. Step 3: Cross multiply
    73,246.34x = 101,081.94 × 41,420
  4. Step 4: Simplify right side
    73,246.34x = 4,186,813,954.80
  5. Step 5: Solve for x
    x = 4,186,813,954.80/73,246.34
  6. Step 6: Final answer
    x = 57,160.73

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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.