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Finding the Fourth Proportional to 97,924.25, 135,136.32 and 53,212.25

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Solution

The fourth proportional to 97,924.25, 135,136.32 and 53,212.25 is: 73,433.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,924.25 : 135,136.32 = 53,212.25 : x
  2. Step 2: Convert to fraction form
    97,924.25/135,136.32 = 53,212.25/x
  3. Step 3: Cross multiply
    97,924.25x = 135,136.32 × 53,212.25
  4. Step 4: Simplify right side
    97,924.25x = 7,190,907,643.92
  5. Step 5: Solve for x
    x = 7,190,907,643.92/97,924.25
  6. Step 6: Final answer
    x = 73,433.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.