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Finding the Fourth Proportional to 111,872.95, 167,813.07 and 32,980.57

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Solution

The fourth proportional to 111,872.95, 167,813.07 and 32,980.57 is: 49,471.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,872.95 : 167,813.07 = 32,980.57 : x
  2. Step 2: Convert to fraction form
    111,872.95/167,813.07 = 32,980.57/x
  3. Step 3: Cross multiply
    111,872.95x = 167,813.07 × 32,980.57
  4. Step 4: Simplify right side
    111,872.95x = 5,534,570,158.84
  5. Step 5: Solve for x
    x = 5,534,570,158.84/111,872.95
  6. Step 6: Final answer
    x = 49,471.93

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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.