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Finding the Fourth Proportional to 75,449.56, 104,121.72 and 41,459.53

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Solution

The fourth proportional to 75,449.56, 104,121.72 and 41,459.53 is: 57,214.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,449.56 : 104,121.72 = 41,459.53 : x
  2. Step 2: Convert to fraction form
    75,449.56/104,121.72 = 41,459.53/x
  3. Step 3: Cross multiply
    75,449.56x = 104,121.72 × 41,459.53
  4. Step 4: Simplify right side
    75,449.56x = 4,316,837,573.99
  5. Step 5: Solve for x
    x = 4,316,837,573.99/75,449.56
  6. Step 6: Final answer
    x = 57,214.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.