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Finding the Fourth Proportional to 49,770, 74,656.44 and 12,834

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Solution

The fourth proportional to 49,770, 74,656.44 and 12,834 is: 19,251.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,770 : 74,656.44 = 12,834 : x
  2. Step 2: Convert to fraction form
    49,770/74,656.44 = 12,834/x
  3. Step 3: Cross multiply
    49,770x = 74,656.44 × 12,834
  4. Step 4: Simplify right side
    49,770x = 958,140,750.96
  5. Step 5: Solve for x
    x = 958,140,750.96/49,770
  6. Step 6: Final answer
    x = 19,251.37

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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.