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Finding the Fourth Proportional to 75,829.64, 113,744.36 and 33,699.92

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Solution

The fourth proportional to 75,829.64, 113,744.36 and 33,699.92 is: 50,549.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,829.64 : 113,744.36 = 33,699.92 : x
  2. Step 2: Convert to fraction form
    75,829.64/113,744.36 = 33,699.92/x
  3. Step 3: Cross multiply
    75,829.64x = 113,744.36 × 33,699.92
  4. Step 4: Simplify right side
    75,829.64x = 3,833,175,347.98
  5. Step 5: Solve for x
    x = 3,833,175,347.98/75,829.64
  6. Step 6: Final answer
    x = 50,549.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.