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Finding the Fourth Proportional to 30,689.25, 42,351.21 and 18,114

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Solution

The fourth proportional to 30,689.25, 42,351.21 and 18,114 is: 24,997.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,689.25 : 42,351.21 = 18,114 : x
  2. Step 2: Convert to fraction form
    30,689.25/42,351.21 = 18,114/x
  3. Step 3: Cross multiply
    30,689.25x = 42,351.21 × 18,114
  4. Step 4: Simplify right side
    30,689.25x = 767,149,817.94
  5. Step 5: Solve for x
    x = 767,149,817.94/30,689.25
  6. Step 6: Final answer
    x = 24,997.35

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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.