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Finding the Fourth Proportional to 100,564.98, 150,866.92 and 38,230.62

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Solution

The fourth proportional to 100,564.98, 150,866.92 and 38,230.62 is: 57,353.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,564.98 : 150,866.92 = 38,230.62 : x
  2. Step 2: Convert to fraction form
    100,564.98/150,866.92 = 38,230.62/x
  3. Step 3: Cross multiply
    100,564.98x = 150,866.92 × 38,230.62
  4. Step 4: Simplify right side
    100,564.98x = 5,767,735,889.09
  5. Step 5: Solve for x
    x = 5,767,735,889.09/100,564.98
  6. Step 6: Final answer
    x = 57,353.32

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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.