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Finding the Fourth Proportional to 73,758.27, 101,786.26 and 41,492.91

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Solution

The fourth proportional to 73,758.27, 101,786.26 and 41,492.91 is: 57,260.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,758.27 : 101,786.26 = 41,492.91 : x
  2. Step 2: Convert to fraction form
    73,758.27/101,786.26 = 41,492.91/x
  3. Step 3: Cross multiply
    73,758.27x = 101,786.26 × 41,492.91
  4. Step 4: Simplify right side
    73,758.27x = 4,223,407,915.93
  5. Step 5: Solve for x
    x = 4,223,407,915.93/73,758.27
  6. Step 6: Final answer
    x = 57,260.13

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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.