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Finding the Fourth Proportional to 37,645.90, 56,474.22 and 12,340

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Solution

The fourth proportional to 37,645.90, 56,474.22 and 12,340 is: 18,511.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,645.90 : 56,474.22 = 12,340 : x
  2. Step 2: Convert to fraction form
    37,645.90/56,474.22 = 12,340/x
  3. Step 3: Cross multiply
    37,645.90x = 56,474.22 × 12,340
  4. Step 4: Simplify right side
    37,645.90x = 696,891,874.80
  5. Step 5: Solve for x
    x = 696,891,874.80/37,645.90
  6. Step 6: Final answer
    x = 18,511.76

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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.