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Finding the Fourth Proportional to 29,978.25, 41,372.13 and 17,233.50

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Solution

The fourth proportional to 29,978.25, 41,372.13 and 17,233.50 is: 23,783.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,978.25 : 41,372.13 = 17,233.50 : x
  2. Step 2: Convert to fraction form
    29,978.25/41,372.13 = 17,233.50/x
  3. Step 3: Cross multiply
    29,978.25x = 41,372.13 × 17,233.50
  4. Step 4: Simplify right side
    29,978.25x = 712,986,602.36
  5. Step 5: Solve for x
    x = 712,986,602.36/29,978.25
  6. Step 6: Final answer
    x = 23,783.46

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Why These Related Problems?

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