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Finding the Fourth Proportional to 111,690.73, 167,527.90 and 32,811.13

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Solution

The fourth proportional to 111,690.73, 167,527.90 and 32,811.13 is: 49,214.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,690.73 : 167,527.90 = 32,811.13 : x
  2. Step 2: Convert to fraction form
    111,690.73/167,527.90 = 32,811.13/x
  3. Step 3: Cross multiply
    111,690.73x = 167,527.90 × 32,811.13
  4. Step 4: Simplify right side
    111,690.73x = 5,496,779,705.53
  5. Step 5: Solve for x
    x = 5,496,779,705.53/111,690.73
  6. Step 6: Final answer
    x = 49,214.29

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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.