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Finding the Fourth Proportional to 49,786.07, 68,704.74 and 27,430.07

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Solution

The fourth proportional to 49,786.07, 68,704.74 and 27,430.07 is: 37,853.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,786.07 : 68,704.74 = 27,430.07 : x
  2. Step 2: Convert to fraction form
    49,786.07/68,704.74 = 27,430.07/x
  3. Step 3: Cross multiply
    49,786.07x = 68,704.74 × 27,430.07
  4. Step 4: Simplify right side
    49,786.07x = 1,884,575,484.01
  5. Step 5: Solve for x
    x = 1,884,575,484.01/49,786.07
  6. Step 6: Final answer
    x = 37,853.47

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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.