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Finding the Fourth Proportional to 75,671.88, 113,489.54 and 33,528.66

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Solution

The fourth proportional to 75,671.88, 113,489.54 and 33,528.66 is: 50,284.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,671.88 : 113,489.54 = 33,528.66 : x
  2. Step 2: Convert to fraction form
    75,671.88/113,489.54 = 33,528.66/x
  3. Step 3: Cross multiply
    75,671.88x = 113,489.54 × 33,528.66
  4. Step 4: Simplify right side
    75,671.88x = 3,805,152,200.22
  5. Step 5: Solve for x
    x = 3,805,152,200.22/75,671.88
  6. Step 6: Final answer
    x = 50,284.89

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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.