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Finding the Fourth Proportional to 73,994, 110,982.84 and 18,590

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Solution

The fourth proportional to 73,994, 110,982.84 and 18,590 is: 27,882.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,994 : 110,982.84 = 18,590 : x
  2. Step 2: Convert to fraction form
    73,994/110,982.84 = 18,590/x
  3. Step 3: Cross multiply
    73,994x = 110,982.84 × 18,590
  4. Step 4: Simplify right side
    73,994x = 2,063,170,995.60
  5. Step 5: Solve for x
    x = 2,063,170,995.60/73,994
  6. Step 6: Final answer
    x = 27,882.95

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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.