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Finding the Fourth Proportional to 96,428.70, 144,664.86 and 52,054.50

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Solution

The fourth proportional to 96,428.70, 144,664.86 and 52,054.50 is: 78,093.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,428.70 : 144,664.86 = 52,054.50 : x
  2. Step 2: Convert to fraction form
    96,428.70/144,664.86 = 52,054.50/x
  3. Step 3: Cross multiply
    96,428.70x = 144,664.86 × 52,054.50
  4. Step 4: Simplify right side
    96,428.70x = 7,530,456,954.87
  5. Step 5: Solve for x
    x = 7,530,456,954.87/96,428.70
  6. Step 6: Final answer
    x = 78,093.52

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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.