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Finding the Fourth Proportional to 65,172.60, 97,583.94 and 33,942.24

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Solution

The fourth proportional to 65,172.60, 97,583.94 and 33,942.24 is: 50,822.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,172.60 : 97,583.94 = 33,942.24 : x
  2. Step 2: Convert to fraction form
    65,172.60/97,583.94 = 33,942.24/x
  3. Step 3: Cross multiply
    65,172.60x = 97,583.94 × 33,942.24
  4. Step 4: Simplify right side
    65,172.60x = 3,312,217,511.63
  5. Step 5: Solve for x
    x = 3,312,217,511.63/65,172.60
  6. Step 6: Final answer
    x = 50,822.24

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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.