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Finding the Fourth Proportional to 71,372.64, 107,054.80 and 21,451.68

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Solution

The fourth proportional to 71,372.64, 107,054.80 and 21,451.68 is: 32,176.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,372.64 : 107,054.80 = 21,451.68 : x
  2. Step 2: Convert to fraction form
    71,372.64/107,054.80 = 21,451.68/x
  3. Step 3: Cross multiply
    71,372.64x = 107,054.80 × 21,451.68
  4. Step 4: Simplify right side
    71,372.64x = 2,296,505,312.06
  5. Step 5: Solve for x
    x = 2,296,505,312.06/71,372.64
  6. Step 6: Final answer
    x = 32,176.27

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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.