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Finding the Fourth Proportional to 41,909.84, 62,874.72 and 12,328.64

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Solution

The fourth proportional to 41,909.84, 62,874.72 and 12,328.64 is: 18,495.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,909.84 : 62,874.72 = 12,328.64 : x
  2. Step 2: Convert to fraction form
    41,909.84/62,874.72 = 12,328.64/x
  3. Step 3: Cross multiply
    41,909.84x = 62,874.72 × 12,328.64
  4. Step 4: Simplify right side
    41,909.84x = 775,159,787.98
  5. Step 5: Solve for x
    x = 775,159,787.98/41,909.84
  6. Step 6: Final answer
    x = 18,495.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.