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Finding the Fourth Proportional to 75,588.96, 104,301.36 and 43,761

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Solution

The fourth proportional to 75,588.96, 104,301.36 and 43,761 is: 60,383.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,588.96 : 104,301.36 = 43,761 : x
  2. Step 2: Convert to fraction form
    75,588.96/104,301.36 = 43,761/x
  3. Step 3: Cross multiply
    75,588.96x = 104,301.36 × 43,761
  4. Step 4: Simplify right side
    75,588.96x = 4,564,331,814.96
  5. Step 5: Solve for x
    x = 4,564,331,814.96/75,588.96
  6. Step 6: Final answer
    x = 60,383.58

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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.