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Finding the Fourth Proportional to 71,977.68, 107,973.68 and 22,057.20

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Solution

The fourth proportional to 71,977.68, 107,973.68 and 22,057.20 is: 33,087.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,977.68 : 107,973.68 = 22,057.20 : x
  2. Step 2: Convert to fraction form
    71,977.68/107,973.68 = 22,057.20/x
  3. Step 3: Cross multiply
    71,977.68x = 107,973.68 × 22,057.20
  4. Step 4: Simplify right side
    71,977.68x = 2,381,597,054.50
  5. Step 5: Solve for x
    x = 2,381,597,054.50/71,977.68
  6. Step 6: Final answer
    x = 33,087.99

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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.