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Finding the Fourth Proportional to 100,187.72, 150,291.61 and 37,024.43

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Solution

The fourth proportional to 100,187.72, 150,291.61 and 37,024.43 is: 55,540.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,187.72 : 150,291.61 = 37,024.43 : x
  2. Step 2: Convert to fraction form
    100,187.72/150,291.61 = 37,024.43/x
  3. Step 3: Cross multiply
    100,187.72x = 150,291.61 × 37,024.43
  4. Step 4: Simplify right side
    100,187.72x = 5,564,461,194.03
  5. Step 5: Solve for x
    x = 5,564,461,194.03/100,187.72
  6. Step 6: Final answer
    x = 55,540.35

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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.