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Finding the Fourth Proportional to 29,097.82, 43,646.64 and 19,234.90

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Solution

The fourth proportional to 29,097.82, 43,646.64 and 19,234.90 is: 28,852.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,097.82 : 43,646.64 = 19,234.90 : x
  2. Step 2: Convert to fraction form
    29,097.82/43,646.64 = 19,234.90/x
  3. Step 3: Cross multiply
    29,097.82x = 43,646.64 × 19,234.90
  4. Step 4: Simplify right side
    29,097.82x = 839,538,755.74
  5. Step 5: Solve for x
    x = 839,538,755.74/29,097.82
  6. Step 6: Final answer
    x = 28,852.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.