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Finding the Fourth Proportional to 75,226.50, 112,846.59 and 19,822.50

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Solution

The fourth proportional to 75,226.50, 112,846.59 and 19,822.50 is: 29,735.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,226.50 : 112,846.59 = 19,822.50 : x
  2. Step 2: Convert to fraction form
    75,226.50/112,846.59 = 19,822.50/x
  3. Step 3: Cross multiply
    75,226.50x = 112,846.59 × 19,822.50
  4. Step 4: Simplify right side
    75,226.50x = 2,236,901,530.28
  5. Step 5: Solve for x
    x = 2,236,901,530.28/75,226.50
  6. Step 6: Final answer
    x = 29,735.55

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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.