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Finding the Fourth Proportional to 76,640.63, 114,978.24 and 23,337.37

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Solution

The fourth proportional to 76,640.63, 114,978.24 and 23,337.37 is: 35,011.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,640.63 : 114,978.24 = 23,337.37 : x
  2. Step 2: Convert to fraction form
    76,640.63/114,978.24 = 23,337.37/x
  3. Step 3: Cross multiply
    76,640.63x = 114,978.24 × 23,337.37
  4. Step 4: Simplify right side
    76,640.63x = 2,683,289,613.21
  5. Step 5: Solve for x
    x = 2,683,289,613.21/76,640.63
  6. Step 6: Final answer
    x = 35,011.32

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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.