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Finding the Fourth Proportional to 71,816, 107,724 and 25,056.32

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Solution

The fourth proportional to 71,816, 107,724 and 25,056.32 is: 37,584.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,816 : 107,724 = 25,056.32 : x
  2. Step 2: Convert to fraction form
    71,816/107,724 = 25,056.32/x
  3. Step 3: Cross multiply
    71,816x = 107,724 × 25,056.32
  4. Step 4: Simplify right side
    71,816x = 2,699,167,015.68
  5. Step 5: Solve for x
    x = 2,699,167,015.68/71,816
  6. Step 6: Final answer
    x = 37,584.48

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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.