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Finding the Fourth Proportional to 30,577.16, 42,198.30 and 17,149.17

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Solution

The fourth proportional to 30,577.16, 42,198.30 and 17,149.17 is: 23,666.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,577.16 : 42,198.30 = 17,149.17 : x
  2. Step 2: Convert to fraction form
    30,577.16/42,198.30 = 17,149.17/x
  3. Step 3: Cross multiply
    30,577.16x = 42,198.30 × 17,149.17
  4. Step 4: Simplify right side
    30,577.16x = 723,665,741.29
  5. Step 5: Solve for x
    x = 723,665,741.29/30,577.16
  6. Step 6: Final answer
    x = 23,666.87

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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.