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Finding the Fourth Proportional to 75,508.26, 113,015.94 and 55,512.46

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Solution

The fourth proportional to 75,508.26, 113,015.94 and 55,512.46 is: 83,087.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,508.26 : 113,015.94 = 55,512.46 : x
  2. Step 2: Convert to fraction form
    75,508.26/113,015.94 = 55,512.46/x
  3. Step 3: Cross multiply
    75,508.26x = 113,015.94 × 55,512.46
  4. Step 4: Simplify right side
    75,508.26x = 6,273,792,848.61
  5. Step 5: Solve for x
    x = 6,273,792,848.61/75,508.26
  6. Step 6: Final answer
    x = 83,087.50

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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.