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Finding the Fourth Proportional to 101,002.23, 151,470 and 33,518.70

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Solution

The fourth proportional to 101,002.23, 151,470 and 33,518.70 is: 50,266.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,002.23 : 151,470 = 33,518.70 : x
  2. Step 2: Convert to fraction form
    101,002.23/151,470 = 33,518.70/x
  3. Step 3: Cross multiply
    101,002.23x = 151,470 × 33,518.70
  4. Step 4: Simplify right side
    101,002.23x = 5,077,077,489
  5. Step 5: Solve for x
    x = 5,077,077,489/101,002.23
  6. Step 6: Final answer
    x = 50,266.98

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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.