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Finding the Fourth Proportional to 73,814.50, 110,722.16 and 18,410.50

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Solution

The fourth proportional to 73,814.50, 110,722.16 and 18,410.50 is: 27,615.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,814.50 : 110,722.16 = 18,410.50 : x
  2. Step 2: Convert to fraction form
    73,814.50/110,722.16 = 18,410.50/x
  3. Step 3: Cross multiply
    73,814.50x = 110,722.16 × 18,410.50
  4. Step 4: Simplify right side
    73,814.50x = 2,038,450,326.68
  5. Step 5: Solve for x
    x = 2,038,450,326.68/73,814.50
  6. Step 6: Final answer
    x = 27,615.85

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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.