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Finding the Fourth Proportional to 30,500.82, 42,093 and 17,072.91

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Solution

The fourth proportional to 30,500.82, 42,093 and 17,072.91 is: 23,561.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,500.82 : 42,093 = 17,072.91 : x
  2. Step 2: Convert to fraction form
    30,500.82/42,093 = 17,072.91/x
  3. Step 3: Cross multiply
    30,500.82x = 42,093 × 17,072.91
  4. Step 4: Simplify right side
    30,500.82x = 718,650,000.63
  5. Step 5: Solve for x
    x = 718,650,000.63/30,500.82
  6. Step 6: Final answer
    x = 23,561.66

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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.