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Finding the Fourth Proportional to 76,571.30, 114,857.09 and 29,824.17

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Solution

The fourth proportional to 76,571.30, 114,857.09 and 29,824.17 is: 44,736.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,571.30 : 114,857.09 = 29,824.17 : x
  2. Step 2: Convert to fraction form
    76,571.30/114,857.09 = 29,824.17/x
  3. Step 3: Cross multiply
    76,571.30x = 114,857.09 × 29,824.17
  4. Step 4: Simplify right side
    76,571.30x = 3,425,517,228.74
  5. Step 5: Solve for x
    x = 3,425,517,228.74/76,571.30
  6. Step 6: Final answer
    x = 44,736.31

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1.5x scale

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.