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Finding the Fourth Proportional to 76,572.96, 114,859.48 and 29,177

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Solution

The fourth proportional to 76,572.96, 114,859.48 and 29,177 is: 43,765.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,572.96 : 114,859.48 = 29,177 : x
  2. Step 2: Convert to fraction form
    76,572.96/114,859.48 = 29,177/x
  3. Step 3: Cross multiply
    76,572.96x = 114,859.48 × 29,177
  4. Step 4: Simplify right side
    76,572.96x = 3,351,255,047.96
  5. Step 5: Solve for x
    x = 3,351,255,047.96/76,572.96
  6. Step 6: Final answer
    x = 43,765.52

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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.