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Finding the Fourth Proportional to 77,475, 116,261.66 and 33,102.09

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Solution

The fourth proportional to 77,475, 116,261.66 and 33,102.09 is: 49,674.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,475 : 116,261.66 = 33,102.09 : x
  2. Step 2: Convert to fraction form
    77,475/116,261.66 = 33,102.09/x
  3. Step 3: Cross multiply
    77,475x = 116,261.66 × 33,102.09
  4. Step 4: Simplify right side
    77,475x = 3,848,503,932.87
  5. Step 5: Solve for x
    x = 3,848,503,932.87/77,475
  6. Step 6: Final answer
    x = 49,674.14

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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.