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Finding the Fourth Proportional to 43,057.68, 59,419.08 and 24,198

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Solution

The fourth proportional to 43,057.68, 59,419.08 and 24,198 is: 33,392.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,057.68 : 59,419.08 = 24,198 : x
  2. Step 2: Convert to fraction form
    43,057.68/59,419.08 = 24,198/x
  3. Step 3: Cross multiply
    43,057.68x = 59,419.08 × 24,198
  4. Step 4: Simplify right side
    43,057.68x = 1,437,822,897.84
  5. Step 5: Solve for x
    x = 1,437,822,897.84/43,057.68
  6. Step 6: Final answer
    x = 33,392.95

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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.