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Finding the Fourth Proportional to 29,873, 41,225.70 and 16,443.56

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Solution

The fourth proportional to 29,873, 41,225.70 and 16,443.56 is: 22,692.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,873 : 41,225.70 = 16,443.56 : x
  2. Step 2: Convert to fraction form
    29,873/41,225.70 = 16,443.56/x
  3. Step 3: Cross multiply
    29,873x = 41,225.70 × 16,443.56
  4. Step 4: Simplify right side
    29,873x = 677,897,271.49
  5. Step 5: Solve for x
    x = 677,897,271.49/29,873
  6. Step 6: Final answer
    x = 22,692.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.