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Finding the Fourth Proportional to 30,882.96, 42,620.67 and 17,455.46

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Solution

The fourth proportional to 30,882.96, 42,620.67 and 17,455.46 is: 24,089.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,882.96 : 42,620.67 = 17,455.46 : x
  2. Step 2: Convert to fraction form
    30,882.96/42,620.67 = 17,455.46/x
  3. Step 3: Cross multiply
    30,882.96x = 42,620.67 × 17,455.46
  4. Step 4: Simplify right side
    30,882.96x = 743,963,187.25
  5. Step 5: Solve for x
    x = 743,963,187.25/30,882.96
  6. Step 6: Final answer
    x = 24,089.76

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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.