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Finding the Fourth Proportional to 51,232.80, 70,706.70 and 30,029.88

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Solution

The fourth proportional to 51,232.80, 70,706.70 and 30,029.88 is: 41,444.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,232.80 : 70,706.70 = 30,029.88 : x
  2. Step 2: Convert to fraction form
    51,232.80/70,706.70 = 30,029.88/x
  3. Step 3: Cross multiply
    51,232.80x = 70,706.70 × 30,029.88
  4. Step 4: Simplify right side
    51,232.80x = 2,123,313,716.20
  5. Step 5: Solve for x
    x = 2,123,313,716.20/51,232.80
  6. Step 6: Final answer
    x = 41,444.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.