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Finding the Fourth Proportional to 73,695.36, 110,450.55 and 31,525.86

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Solution

The fourth proportional to 73,695.36, 110,450.55 and 31,525.86 is: 47,249.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,695.36 : 110,450.55 = 31,525.86 : x
  2. Step 2: Convert to fraction form
    73,695.36/110,450.55 = 31,525.86/x
  3. Step 3: Cross multiply
    73,695.36x = 110,450.55 × 31,525.86
  4. Step 4: Simplify right side
    73,695.36x = 3,482,048,576.22
  5. Step 5: Solve for x
    x = 3,482,048,576.22/73,695.36
  6. Step 6: Final answer
    x = 47,249.22

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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.