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Finding the Fourth Proportional to 112,703.81, 169,072.20 and 33,824.27

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Solution

The fourth proportional to 112,703.81, 169,072.20 and 33,824.27 is: 50,741.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,703.81 : 169,072.20 = 33,824.27 : x
  2. Step 2: Convert to fraction form
    112,703.81/169,072.20 = 33,824.27/x
  3. Step 3: Cross multiply
    112,703.81x = 169,072.20 × 33,824.27
  4. Step 4: Simplify right side
    112,703.81x = 5,718,743,742.29
  5. Step 5: Solve for x
    x = 5,718,743,742.29/112,703.81
  6. Step 6: Final answer
    x = 50,741.35

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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.