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Finding the Fourth Proportional to 30,428.78, 45,647.02 and 10,442.17

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Solution

The fourth proportional to 30,428.78, 45,647.02 and 10,442.17 is: 15,664.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,428.78 : 45,647.02 = 10,442.17 : x
  2. Step 2: Convert to fraction form
    30,428.78/45,647.02 = 10,442.17/x
  3. Step 3: Cross multiply
    30,428.78x = 45,647.02 × 10,442.17
  4. Step 4: Simplify right side
    30,428.78x = 476,653,942.83
  5. Step 5: Solve for x
    x = 476,653,942.83/30,428.78
  6. Step 6: Final answer
    x = 15,664.58

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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.