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Finding the Fourth Proportional to 75,950.80, 113,926.20 and 33,830.80

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Solution

The fourth proportional to 75,950.80, 113,926.20 and 33,830.80 is: 50,746.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,950.80 : 113,926.20 = 33,830.80 : x
  2. Step 2: Convert to fraction form
    75,950.80/113,926.20 = 33,830.80/x
  3. Step 3: Cross multiply
    75,950.80x = 113,926.20 × 33,830.80
  4. Step 4: Simplify right side
    75,950.80x = 3,854,214,486.96
  5. Step 5: Solve for x
    x = 3,854,214,486.96/75,950.80
  6. Step 6: Final answer
    x = 50,746.20

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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.