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Finding the Fourth Proportional to 97,956, 135,180.36 and 53,244

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Solution

The fourth proportional to 97,956, 135,180.36 and 53,244 is: 73,477.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,956 : 135,180.36 = 53,244 : x
  2. Step 2: Convert to fraction form
    97,956/135,180.36 = 53,244/x
  3. Step 3: Cross multiply
    97,956x = 135,180.36 × 53,244
  4. Step 4: Simplify right side
    97,956x = 7,197,543,087.84
  5. Step 5: Solve for x
    x = 7,197,543,087.84/97,956
  6. Step 6: Final answer
    x = 73,477.31

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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.