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Finding the Fourth Proportional to 76,689.76, 115,033.20 and 54,107.68

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Solution

The fourth proportional to 76,689.76, 115,033.20 and 54,107.68 is: 81,160.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,689.76 : 115,033.20 = 54,107.68 : x
  2. Step 2: Convert to fraction form
    76,689.76/115,033.20 = 54,107.68/x
  3. Step 3: Cross multiply
    76,689.76x = 115,033.20 × 54,107.68
  4. Step 4: Simplify right side
    76,689.76x = 6,224,179,574.98
  5. Step 5: Solve for x
    x = 6,224,179,574.98/76,689.76
  6. Step 6: Final answer
    x = 81,160.50

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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.