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Finding the Fourth Proportional to 101,305.26, 151,946.37 and 27,427.50

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Solution

The fourth proportional to 101,305.26, 151,946.37 and 27,427.50 is: 41,138.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,305.26 : 151,946.37 = 27,427.50 : x
  2. Step 2: Convert to fraction form
    101,305.26/151,946.37 = 27,427.50/x
  3. Step 3: Cross multiply
    101,305.26x = 151,946.37 × 27,427.50
  4. Step 4: Simplify right side
    101,305.26x = 4,167,509,063.18
  5. Step 5: Solve for x
    x = 4,167,509,063.18/101,305.26
  6. Step 6: Final answer
    x = 41,138.13

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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.