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Finding the Fourth Proportional to 30,882.99, 42,618.51 and 16,735.83

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Solution

The fourth proportional to 30,882.99, 42,618.51 and 16,735.83 is: 23,095.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,882.99 : 42,618.51 = 16,735.83 : x
  2. Step 2: Convert to fraction form
    30,882.99/42,618.51 = 16,735.83/x
  3. Step 3: Cross multiply
    30,882.99x = 42,618.51 × 16,735.83
  4. Step 4: Simplify right side
    30,882.99x = 713,256,138.21
  5. Step 5: Solve for x
    x = 713,256,138.21/30,882.99
  6. Step 6: Final answer
    x = 23,095.44

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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.