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Finding the Fourth Proportional to 30,097.78, 41,521.15 and 19,490.83

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Solution

The fourth proportional to 30,097.78, 41,521.15 and 19,490.83 is: 26,888.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,097.78 : 41,521.15 = 19,490.83 : x
  2. Step 2: Convert to fraction form
    30,097.78/41,521.15 = 19,490.83/x
  3. Step 3: Cross multiply
    30,097.78x = 41,521.15 × 19,490.83
  4. Step 4: Simplify right side
    30,097.78x = 809,281,676.05
  5. Step 5: Solve for x
    x = 809,281,676.05/30,097.78
  6. Step 6: Final answer
    x = 26,888.42

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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.