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Finding the Fourth Proportional to 29,848.25, 41,189.89 and 16,419.38

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Solution

The fourth proportional to 29,848.25, 41,189.89 and 16,419.38 is: 22,658.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,848.25 : 41,189.89 = 16,419.38 : x
  2. Step 2: Convert to fraction form
    29,848.25/41,189.89 = 16,419.38/x
  3. Step 3: Cross multiply
    29,848.25x = 41,189.89 × 16,419.38
  4. Step 4: Simplify right side
    29,848.25x = 676,312,456.07
  5. Step 5: Solve for x
    x = 676,312,456.07/29,848.25
  6. Step 6: Final answer
    x = 22,658.36

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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.