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Finding the Fourth Proportional to 30,589.38, 45,878.58 and 8,100.20

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Solution

The fourth proportional to 30,589.38, 45,878.58 and 8,100.20 is: 12,148.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,589.38 : 45,878.58 = 8,100.20 : x
  2. Step 2: Convert to fraction form
    30,589.38/45,878.58 = 8,100.20/x
  3. Step 3: Cross multiply
    30,589.38x = 45,878.58 × 8,100.20
  4. Step 4: Simplify right side
    30,589.38x = 371,625,403.82
  5. Step 5: Solve for x
    x = 371,625,403.82/30,589.38
  6. Step 6: Final answer
    x = 12,148.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.