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Finding the Fourth Proportional to 76,710.46, 115,093.32 and 26,797.90

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Solution

The fourth proportional to 76,710.46, 115,093.32 and 26,797.90 is: 40,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,710.46 : 115,093.32 = 26,797.90 : x
  2. Step 2: Convert to fraction form
    76,710.46/115,093.32 = 26,797.90/x
  3. Step 3: Cross multiply
    76,710.46x = 115,093.32 × 26,797.90
  4. Step 4: Simplify right side
    76,710.46x = 3,084,259,280.03
  5. Step 5: Solve for x
    x = 3,084,259,280.03/76,710.46
  6. Step 6: Final answer
    x = 40,206.50

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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.