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Finding the Fourth Proportional to 30,635.77, 42,274.10 and 17,208.50

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Solution

The fourth proportional to 30,635.77, 42,274.10 and 17,208.50 is: 23,745.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,635.77 : 42,274.10 = 17,208.50 : x
  2. Step 2: Convert to fraction form
    30,635.77/42,274.10 = 17,208.50/x
  3. Step 3: Cross multiply
    30,635.77x = 42,274.10 × 17,208.50
  4. Step 4: Simplify right side
    30,635.77x = 727,473,919.29
  5. Step 5: Solve for x
    x = 727,473,919.29/30,635.77
  6. Step 6: Final answer
    x = 23,745.90

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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.