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Finding the Fourth Proportional to 29,770.66, 41,083.34 and 16,342.14

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Solution

The fourth proportional to 29,770.66, 41,083.34 and 16,342.14 is: 22,552.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,770.66 : 41,083.34 = 16,342.14 : x
  2. Step 2: Convert to fraction form
    29,770.66/41,083.34 = 16,342.14/x
  3. Step 3: Cross multiply
    29,770.66x = 41,083.34 × 16,342.14
  4. Step 4: Simplify right side
    29,770.66x = 671,389,734.80
  5. Step 5: Solve for x
    x = 671,389,734.80/29,770.66
  6. Step 6: Final answer
    x = 22,552.06

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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.