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Finding the Fourth Proportional to 37,834.22, 56,758.62 and 12,873.26

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Solution

The fourth proportional to 37,834.22, 56,758.62 and 12,873.26 is: 19,312.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,834.22 : 56,758.62 = 12,873.26 : x
  2. Step 2: Convert to fraction form
    37,834.22/56,758.62 = 12,873.26/x
  3. Step 3: Cross multiply
    37,834.22x = 56,758.62 × 12,873.26
  4. Step 4: Simplify right side
    37,834.22x = 730,668,472.50
  5. Step 5: Solve for x
    x = 730,668,472.50/37,834.22
  6. Step 6: Final answer
    x = 19,312.37

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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.