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Finding the Fourth Proportional to 100,046.37, 150,058.47 and 25,166.50

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Solution

The fourth proportional to 100,046.37, 150,058.47 and 25,166.50 is: 37,746.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,046.37 : 150,058.47 = 25,166.50 : x
  2. Step 2: Convert to fraction form
    100,046.37/150,058.47 = 25,166.50/x
  3. Step 3: Cross multiply
    100,046.37x = 150,058.47 × 25,166.50
  4. Step 4: Simplify right side
    100,046.37x = 3,776,447,074.44
  5. Step 5: Solve for x
    x = 3,776,447,074.44/100,046.37
  6. Step 6: Final answer
    x = 37,746.97

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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.