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Finding the Fourth Proportional to 75,164.56, 103,735.82 and 43,334.60

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Solution

The fourth proportional to 75,164.56, 103,735.82 and 43,334.60 is: 59,806.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,164.56 : 103,735.82 = 43,334.60 : x
  2. Step 2: Convert to fraction form
    75,164.56/103,735.82 = 43,334.60/x
  3. Step 3: Cross multiply
    75,164.56x = 103,735.82 × 43,334.60
  4. Step 4: Simplify right side
    75,164.56x = 4,495,349,855.03
  5. Step 5: Solve for x
    x = 4,495,349,855.03/75,164.56
  6. Step 6: Final answer
    x = 59,806.78

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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.