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Finding the Fourth Proportional to 76,263, 114,285.48 and 33,517.20

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Solution

The fourth proportional to 76,263, 114,285.48 and 33,517.20 is: 50,227.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,263 : 114,285.48 = 33,517.20 : x
  2. Step 2: Convert to fraction form
    76,263/114,285.48 = 33,517.20/x
  3. Step 3: Cross multiply
    76,263x = 114,285.48 × 33,517.20
  4. Step 4: Simplify right side
    76,263x = 3,830,529,290.26
  5. Step 5: Solve for x
    x = 3,830,529,290.26/76,263
  6. Step 6: Final answer
    x = 50,227.89

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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.