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Finding the Fourth Proportional to 82,222.50, 123,259.77 and 29,595

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Solution

The fourth proportional to 82,222.50, 123,259.77 and 29,595 is: 44,365.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,222.50 : 123,259.77 = 29,595 : x
  2. Step 2: Convert to fraction form
    82,222.50/123,259.77 = 29,595/x
  3. Step 3: Cross multiply
    82,222.50x = 123,259.77 × 29,595
  4. Step 4: Simplify right side
    82,222.50x = 3,647,872,893.15
  5. Step 5: Solve for x
    x = 3,647,872,893.15/82,222.50
  6. Step 6: Final answer
    x = 44,365.87

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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.