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Finding the Fourth Proportional to 76,160.34, 114,314.31 and 36,745.11

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Solution

The fourth proportional to 76,160.34, 114,314.31 and 36,745.11 is: 55,153.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,160.34 : 114,314.31 = 36,745.11 : x
  2. Step 2: Convert to fraction form
    76,160.34/114,314.31 = 36,745.11/x
  3. Step 3: Cross multiply
    76,160.34x = 114,314.31 × 36,745.11
  4. Step 4: Simplify right side
    76,160.34x = 4,200,491,895.52
  5. Step 5: Solve for x
    x = 4,200,491,895.52/76,160.34
  6. Step 6: Final answer
    x = 55,153.27

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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.