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Finding the Fourth Proportional to 75,815.79, 113,722.12 and 33,684.45

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Solution

The fourth proportional to 75,815.79, 113,722.12 and 33,684.45 is: 50,525.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,815.79 : 113,722.12 = 33,684.45 : x
  2. Step 2: Convert to fraction form
    75,815.79/113,722.12 = 33,684.45/x
  3. Step 3: Cross multiply
    75,815.79x = 113,722.12 × 33,684.45
  4. Step 4: Simplify right side
    75,815.79x = 3,830,667,065.03
  5. Step 5: Solve for x
    x = 3,830,667,065.03/75,815.79
  6. Step 6: Final answer
    x = 50,525.98

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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.