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Finding the Fourth Proportional to 111,709.88, 167,577.12 and 32,830.26

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Solution

The fourth proportional to 111,709.88, 167,577.12 and 32,830.26 is: 49,249.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,709.88 : 167,577.12 = 32,830.26 : x
  2. Step 2: Convert to fraction form
    111,709.88/167,577.12 = 32,830.26/x
  3. Step 3: Cross multiply
    111,709.88x = 167,577.12 × 32,830.26
  4. Step 4: Simplify right side
    111,709.88x = 5,501,600,419.65
  5. Step 5: Solve for x
    x = 5,501,600,419.65/111,709.88
  6. Step 6: Final answer
    x = 49,249.00

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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.