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Finding the Fourth Proportional to 71,441.47, 107,148.55 and 35,892.94

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Solution

The fourth proportional to 71,441.47, 107,148.55 and 35,892.94 is: 53,832.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,441.47 : 107,148.55 = 35,892.94 : x
  2. Step 2: Convert to fraction form
    71,441.47/107,148.55 = 35,892.94/x
  3. Step 3: Cross multiply
    71,441.47x = 107,148.55 × 35,892.94
  4. Step 4: Simplify right side
    71,441.47x = 3,845,876,453.14
  5. Step 5: Solve for x
    x = 3,845,876,453.14/71,441.47
  6. Step 6: Final answer
    x = 53,832.55

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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.