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Finding the Fourth Proportional to 86,218.63, 129,286.86 and 30,051.88

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Solution

The fourth proportional to 86,218.63, 129,286.86 and 30,051.88 is: 45,063.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,218.63 : 129,286.86 = 30,051.88 : x
  2. Step 2: Convert to fraction form
    86,218.63/129,286.86 = 30,051.88/x
  3. Step 3: Cross multiply
    86,218.63x = 129,286.86 × 30,051.88
  4. Step 4: Simplify right side
    86,218.63x = 3,885,313,202.30
  5. Step 5: Solve for x
    x = 3,885,313,202.30/86,218.63
  6. Step 6: Final answer
    x = 45,063.50

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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.