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Finding the Fourth Proportional to 111,378.13, 167,064.42 and 32,493.04

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Solution

The fourth proportional to 111,378.13, 167,064.42 and 32,493.04 is: 48,738.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,378.13 : 167,064.42 = 32,493.04 : x
  2. Step 2: Convert to fraction form
    111,378.13/167,064.42 = 32,493.04/x
  3. Step 3: Cross multiply
    111,378.13x = 167,064.42 × 32,493.04
  4. Step 4: Simplify right side
    111,378.13x = 5,428,430,881.64
  5. Step 5: Solve for x
    x = 5,428,430,881.64/111,378.13
  6. Step 6: Final answer
    x = 48,738.75

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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.