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Finding the Fourth Proportional to 76,751.46, 114,960.54 and 37,225.50

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Solution

The fourth proportional to 76,751.46, 114,960.54 and 37,225.50 is: 55,757.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,751.46 : 114,960.54 = 37,225.50 : x
  2. Step 2: Convert to fraction form
    76,751.46/114,960.54 = 37,225.50/x
  3. Step 3: Cross multiply
    76,751.46x = 114,960.54 × 37,225.50
  4. Step 4: Simplify right side
    76,751.46x = 4,279,463,581.77
  5. Step 5: Solve for x
    x = 4,279,463,581.77/76,751.46
  6. Step 6: Final answer
    x = 55,757.42

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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.