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Finding the Fourth Proportional to 111,659.40, 167,494.14 and 31,703.04

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Solution

The fourth proportional to 111,659.40, 167,494.14 and 31,703.04 is: 47,555.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,659.40 : 167,494.14 = 31,703.04 : x
  2. Step 2: Convert to fraction form
    111,659.40/167,494.14 = 31,703.04/x
  3. Step 3: Cross multiply
    111,659.40x = 167,494.14 × 31,703.04
  4. Step 4: Simplify right side
    111,659.40x = 5,310,073,420.19
  5. Step 5: Solve for x
    x = 5,310,073,420.19/111,659.40
  6. Step 6: Final answer
    x = 47,555.99

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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.