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Finding the Fourth Proportional to 75,813.79, 113,719.13 and 33,682.45

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Solution

The fourth proportional to 75,813.79, 113,719.13 and 33,682.45 is: 50,522.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,813.79 : 113,719.13 = 33,682.45 : x
  2. Step 2: Convert to fraction form
    75,813.79/113,719.13 = 33,682.45/x
  3. Step 3: Cross multiply
    75,813.79x = 113,719.13 × 33,682.45
  4. Step 4: Simplify right side
    75,813.79x = 3,830,338,457.56
  5. Step 5: Solve for x
    x = 3,830,338,457.56/75,813.79
  6. Step 6: Final answer
    x = 50,522.98

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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.