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Finding the Fourth Proportional to 50,314.34, 75,474.09 and 12,874.74

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Solution

The fourth proportional to 50,314.34, 75,474.09 and 12,874.74 is: 19,312.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,314.34 : 75,474.09 = 12,874.74 : x
  2. Step 2: Convert to fraction form
    50,314.34/75,474.09 = 12,874.74/x
  3. Step 3: Cross multiply
    50,314.34x = 75,474.09 × 12,874.74
  4. Step 4: Simplify right side
    50,314.34x = 971,709,285.49
  5. Step 5: Solve for x
    x = 971,709,285.49/50,314.34
  6. Step 6: Final answer
    x = 19,312.77

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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.