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Finding the Fourth Proportional to 29,693.28, 40,978.68 and 17,118.84

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Solution

The fourth proportional to 29,693.28, 40,978.68 and 17,118.84 is: 23,625.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,693.28 : 40,978.68 = 17,118.84 : x
  2. Step 2: Convert to fraction form
    29,693.28/40,978.68 = 17,118.84/x
  3. Step 3: Cross multiply
    29,693.28x = 40,978.68 × 17,118.84
  4. Step 4: Simplify right side
    29,693.28x = 701,507,466.33
  5. Step 5: Solve for x
    x = 701,507,466.33/29,693.28
  6. Step 6: Final answer
    x = 23,625.13

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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.