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Finding the Fourth Proportional to 65,317.78, 97,992.06 and 18,571.06

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Solution

The fourth proportional to 65,317.78, 97,992.06 and 18,571.06 is: 27,860.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,317.78 : 97,992.06 = 18,571.06 : x
  2. Step 2: Convert to fraction form
    65,317.78/97,992.06 = 18,571.06/x
  3. Step 3: Cross multiply
    65,317.78x = 97,992.06 × 18,571.06
  4. Step 4: Simplify right side
    65,317.78x = 1,819,816,425.78
  5. Step 5: Solve for x
    x = 1,819,816,425.78/65,317.78
  6. Step 6: Final answer
    x = 27,860.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.