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Finding the Fourth Proportional to 29,848.18, 41,189.60 and 16,419.42

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Solution

The fourth proportional to 29,848.18, 41,189.60 and 16,419.42 is: 22,658.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,848.18 : 41,189.60 = 16,419.42 : x
  2. Step 2: Convert to fraction form
    29,848.18/41,189.60 = 16,419.42/x
  3. Step 3: Cross multiply
    29,848.18x = 41,189.60 × 16,419.42
  4. Step 4: Simplify right side
    29,848.18x = 676,309,342.03
  5. Step 5: Solve for x
    x = 676,309,342.03/29,848.18
  6. Step 6: Final answer
    x = 22,658.31

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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.