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Finding the Fourth Proportional to 275,732.53, 413,627.55 and 76,052.95

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Solution

The fourth proportional to 275,732.53, 413,627.55 and 76,052.95 is: 114,087.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,732.53 : 413,627.55 = 76,052.95 : x
  2. Step 2: Convert to fraction form
    275,732.53/413,627.55 = 76,052.95/x
  3. Step 3: Cross multiply
    275,732.53x = 413,627.55 × 76,052.95
  4. Step 4: Simplify right side
    275,732.53x = 31,457,592,930.37
  5. Step 5: Solve for x
    x = 31,457,592,930.37/275,732.53
  6. Step 6: Final answer
    x = 114,087.35

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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.