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Finding the Fourth Proportional to 30,763.98, 42,454.49 and 18,024.70

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Solution

The fourth proportional to 30,763.98, 42,454.49 and 18,024.70 is: 24,874.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,763.98 : 42,454.49 = 18,024.70 : x
  2. Step 2: Convert to fraction form
    30,763.98/42,454.49 = 18,024.70/x
  3. Step 3: Cross multiply
    30,763.98x = 42,454.49 × 18,024.70
  4. Step 4: Simplify right side
    30,763.98x = 765,229,445.90
  5. Step 5: Solve for x
    x = 765,229,445.90/30,763.98
  6. Step 6: Final answer
    x = 24,874.20

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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.