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Finding the Fourth Proportional to 75,899.31, 113,875.38 and 33,809.28

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Solution

The fourth proportional to 75,899.31, 113,875.38 and 33,809.28 is: 50,725.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,899.31 : 113,875.38 = 33,809.28 : x
  2. Step 2: Convert to fraction form
    75,899.31/113,875.38 = 33,809.28/x
  3. Step 3: Cross multiply
    75,899.31x = 113,875.38 × 33,809.28
  4. Step 4: Simplify right side
    75,899.31x = 3,850,044,607.53
  5. Step 5: Solve for x
    x = 3,850,044,607.53/75,899.31
  6. Step 6: Final answer
    x = 50,725.69

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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.