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Finding the Fourth Proportional to 77,473.25, 116,259.03 and 33,100.34

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Solution

The fourth proportional to 77,473.25, 116,259.03 and 33,100.34 is: 49,671.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,473.25 : 116,259.03 = 33,100.34 : x
  2. Step 2: Convert to fraction form
    77,473.25/116,259.03 = 33,100.34/x
  3. Step 3: Cross multiply
    77,473.25x = 116,259.03 × 33,100.34
  4. Step 4: Simplify right side
    77,473.25x = 3,848,212,674.27
  5. Step 5: Solve for x
    x = 3,848,212,674.27/77,473.25
  6. Step 6: Final answer
    x = 49,671.50

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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.