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Finding the Fourth Proportional to 101,889.31, 152,855.52 and 30,817.26

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Solution

The fourth proportional to 101,889.31, 152,855.52 and 30,817.26 is: 46,232.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,889.31 : 152,855.52 = 30,817.26 : x
  2. Step 2: Convert to fraction form
    101,889.31/152,855.52 = 30,817.26/x
  3. Step 3: Cross multiply
    101,889.31x = 152,855.52 × 30,817.26
  4. Step 4: Simplify right side
    101,889.31x = 4,710,588,302.28
  5. Step 5: Solve for x
    x = 4,710,588,302.28/101,889.31
  6. Step 6: Final answer
    x = 46,232.41

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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.