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Finding the Fourth Proportional to 75,284.56, 112,926.76 and 22,694.05

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Solution

The fourth proportional to 75,284.56, 112,926.76 and 22,694.05 is: 34,041.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,284.56 : 112,926.76 = 22,694.05 : x
  2. Step 2: Convert to fraction form
    75,284.56/112,926.76 = 22,694.05/x
  3. Step 3: Cross multiply
    75,284.56x = 112,926.76 × 22,694.05
  4. Step 4: Simplify right side
    75,284.56x = 2,562,765,537.78
  5. Step 5: Solve for x
    x = 2,562,765,537.78/75,284.56
  6. Step 6: Final answer
    x = 34,041.05

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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.