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Finding the Fourth Proportional to 50,734.14, 70,012.32 and 28,071.42

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Solution

The fourth proportional to 50,734.14, 70,012.32 and 28,071.42 is: 38,738.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,734.14 : 70,012.32 = 28,071.42 : x
  2. Step 2: Convert to fraction form
    50,734.14/70,012.32 = 28,071.42/x
  3. Step 3: Cross multiply
    50,734.14x = 70,012.32 × 28,071.42
  4. Step 4: Simplify right side
    50,734.14x = 1,965,345,239.89
  5. Step 5: Solve for x
    x = 1,965,345,239.89/50,734.14
  6. Step 6: Final answer
    x = 38,738.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.