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Finding the Fourth Proportional to 111,567.16, 167,352.11 and 32,682.98

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Solution

The fourth proportional to 111,567.16, 167,352.11 and 32,682.98 is: 49,024.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,567.16 : 167,352.11 = 32,682.98 : x
  2. Step 2: Convert to fraction form
    111,567.16/167,352.11 = 32,682.98/x
  3. Step 3: Cross multiply
    111,567.16x = 167,352.11 × 32,682.98
  4. Step 4: Simplify right side
    111,567.16x = 5,469,565,664.09
  5. Step 5: Solve for x
    x = 5,469,565,664.09/111,567.16
  6. Step 6: Final answer
    x = 49,024.87

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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.