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Finding the Fourth Proportional to 77,906.84, 116,767.98 and 35,751.39

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Solution

The fourth proportional to 77,906.84, 116,767.98 and 35,751.39 is: 53,584.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,906.84 : 116,767.98 = 35,751.39 : x
  2. Step 2: Convert to fraction form
    77,906.84/116,767.98 = 35,751.39/x
  3. Step 3: Cross multiply
    77,906.84x = 116,767.98 × 35,751.39
  4. Step 4: Simplify right side
    77,906.84x = 4,174,617,592.49
  5. Step 5: Solve for x
    x = 4,174,617,592.49/77,906.84
  6. Step 6: Final answer
    x = 53,584.74

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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.