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Finding the Fourth Proportional to 75,617.58, 113,435.59 and 33,498.01

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Solution

The fourth proportional to 75,617.58, 113,435.59 and 33,498.01 is: 50,251.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,617.58 : 113,435.59 = 33,498.01 : x
  2. Step 2: Convert to fraction form
    75,617.58/113,435.59 = 33,498.01/x
  3. Step 3: Cross multiply
    75,617.58x = 113,435.59 × 33,498.01
  4. Step 4: Simplify right side
    75,617.58x = 3,799,866,010.96
  5. Step 5: Solve for x
    x = 3,799,866,010.96/75,617.58
  6. Step 6: Final answer
    x = 50,251.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.