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Finding the Fourth Proportional to 71,824.34, 107,755.95 and 25,080.86

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Solution

The fourth proportional to 71,824.34, 107,755.95 and 25,080.86 is: 37,628.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,824.34 : 107,755.95 = 25,080.86 : x
  2. Step 2: Convert to fraction form
    71,824.34/107,755.95 = 25,080.86/x
  3. Step 3: Cross multiply
    71,824.34x = 107,755.95 × 25,080.86
  4. Step 4: Simplify right side
    71,824.34x = 2,702,611,896.12
  5. Step 5: Solve for x
    x = 2,702,611,896.12/71,824.34
  6. Step 6: Final answer
    x = 37,628.08

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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.