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Finding the Fourth Proportional to 102,972.78, 154,437.57 and 29,083.50

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Solution

The fourth proportional to 102,972.78, 154,437.57 and 29,083.50 is: 43,619.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,972.78 : 154,437.57 = 29,083.50 : x
  2. Step 2: Convert to fraction form
    102,972.78/154,437.57 = 29,083.50/x
  3. Step 3: Cross multiply
    102,972.78x = 154,437.57 × 29,083.50
  4. Step 4: Simplify right side
    102,972.78x = 4,491,585,067.10
  5. Step 5: Solve for x
    x = 4,491,585,067.10/102,972.78
  6. Step 6: Final answer
    x = 43,619.15

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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.