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Finding the Fourth Proportional to 76,268, 114,292.98 and 33,522.20

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Solution

The fourth proportional to 76,268, 114,292.98 and 33,522.20 is: 50,235.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,268 : 114,292.98 = 33,522.20 : x
  2. Step 2: Convert to fraction form
    76,268/114,292.98 = 33,522.20/x
  3. Step 3: Cross multiply
    76,268x = 114,292.98 × 33,522.20
  4. Step 4: Simplify right side
    76,268x = 3,831,352,134.16
  5. Step 5: Solve for x
    x = 3,831,352,134.16/76,268
  6. Step 6: Final answer
    x = 50,235.38

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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.