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Finding the Fourth Proportional to 101,192.36, 151,784.04 and 34,638.44

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Solution

The fourth proportional to 101,192.36, 151,784.04 and 34,638.44 is: 51,956.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,192.36 : 151,784.04 = 34,638.44 : x
  2. Step 2: Convert to fraction form
    101,192.36/151,784.04 = 34,638.44/x
  3. Step 3: Cross multiply
    101,192.36x = 151,784.04 × 34,638.44
  4. Step 4: Simplify right side
    101,192.36x = 5,257,562,362.50
  5. Step 5: Solve for x
    x = 5,257,562,362.50/101,192.36
  6. Step 6: Final answer
    x = 51,956.12

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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.