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Finding the Fourth Proportional to 75,649.77, 113,422.10 and 33,506.89

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Solution

The fourth proportional to 75,649.77, 113,422.10 and 33,506.89 is: 50,237.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,649.77 : 113,422.10 = 33,506.89 : x
  2. Step 2: Convert to fraction form
    75,649.77/113,422.10 = 33,506.89/x
  3. Step 3: Cross multiply
    75,649.77x = 113,422.10 × 33,506.89
  4. Step 4: Simplify right side
    75,649.77x = 3,800,421,828.27
  5. Step 5: Solve for x
    x = 3,800,421,828.27/75,649.77
  6. Step 6: Final answer
    x = 50,237.06

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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.