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Finding the Fourth Proportional to 76,334.40, 114,512.40 and 29,592

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Solution

The fourth proportional to 76,334.40, 114,512.40 and 29,592 is: 44,392.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,334.40 : 114,512.40 = 29,592 : x
  2. Step 2: Convert to fraction form
    76,334.40/114,512.40 = 29,592/x
  3. Step 3: Cross multiply
    76,334.40x = 114,512.40 × 29,592
  4. Step 4: Simplify right side
    76,334.40x = 3,388,650,940.80
  5. Step 5: Solve for x
    x = 3,388,650,940.80/76,334.40
  6. Step 6: Final answer
    x = 44,392.19

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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.