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Finding the Fourth Proportional to 37,205.10, 55,813.80 and 17,234.55

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Solution

The fourth proportional to 37,205.10, 55,813.80 and 17,234.55 is: 25,854.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,205.10 : 55,813.80 = 17,234.55 : x
  2. Step 2: Convert to fraction form
    37,205.10/55,813.80 = 17,234.55/x
  3. Step 3: Cross multiply
    37,205.10x = 55,813.80 × 17,234.55
  4. Step 4: Simplify right side
    37,205.10x = 961,925,726.79
  5. Step 5: Solve for x
    x = 961,925,726.79/37,205.10
  6. Step 6: Final answer
    x = 25,854.67

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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.