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Finding the Fourth Proportional to 30,200.43, 41,673.54 and 17,632.47

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Solution

The fourth proportional to 30,200.43, 41,673.54 and 17,632.47 is: 24,331.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,200.43 : 41,673.54 = 17,632.47 : x
  2. Step 2: Convert to fraction form
    30,200.43/41,673.54 = 17,632.47/x
  3. Step 3: Cross multiply
    30,200.43x = 41,673.54 × 17,632.47
  4. Step 4: Simplify right side
    30,200.43x = 734,807,443.84
  5. Step 5: Solve for x
    x = 734,807,443.84/30,200.43
  6. Step 6: Final answer
    x = 24,331.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.