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Finding the Fourth Proportional to 50,305.34, 75,457.74 and 12,865.35

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Solution

The fourth proportional to 50,305.34, 75,457.74 and 12,865.35 is: 19,297.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,305.34 : 75,457.74 = 12,865.35 : x
  2. Step 2: Convert to fraction form
    50,305.34/75,457.74 = 12,865.35/x
  3. Step 3: Cross multiply
    50,305.34x = 75,457.74 × 12,865.35
  4. Step 4: Simplify right side
    50,305.34x = 970,790,566.52
  5. Step 5: Solve for x
    x = 970,790,566.52/50,305.34
  6. Step 6: Final answer
    x = 19,297.96

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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.