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Finding the Fourth Proportional to 77,513.80, 116,201.58 and 30,734.68

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Solution

The fourth proportional to 77,513.80, 116,201.58 and 30,734.68 is: 46,074.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,513.80 : 116,201.58 = 30,734.68 : x
  2. Step 2: Convert to fraction form
    77,513.80/116,201.58 = 30,734.68/x
  3. Step 3: Cross multiply
    77,513.80x = 116,201.58 × 30,734.68
  4. Step 4: Simplify right side
    77,513.80x = 3,571,418,376.79
  5. Step 5: Solve for x
    x = 3,571,418,376.79/77,513.80
  6. Step 6: Final answer
    x = 46,074.61

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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.