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Finding the Fourth Proportional to 49,416.40, 74,131.82 and 14,351.50

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Solution

The fourth proportional to 49,416.40, 74,131.82 and 14,351.50 is: 21,529.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,416.40 : 74,131.82 = 14,351.50 : x
  2. Step 2: Convert to fraction form
    49,416.40/74,131.82 = 14,351.50/x
  3. Step 3: Cross multiply
    49,416.40x = 74,131.82 × 14,351.50
  4. Step 4: Simplify right side
    49,416.40x = 1,063,902,372.31
  5. Step 5: Solve for x
    x = 1,063,902,372.31/49,416.40
  6. Step 6: Final answer
    x = 21,529.34

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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.