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Finding the Fourth Proportional to 50,735.67, 70,012.74 and 28,074.24

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Solution

The fourth proportional to 50,735.67, 70,012.74 and 28,074.24 is: 38,741.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,735.67 : 70,012.74 = 28,074.24 : x
  2. Step 2: Convert to fraction form
    50,735.67/70,012.74 = 28,074.24/x
  3. Step 3: Cross multiply
    50,735.67x = 70,012.74 × 28,074.24
  4. Step 4: Simplify right side
    50,735.67x = 1,965,554,465.82
  5. Step 5: Solve for x
    x = 1,965,554,465.82/50,735.67
  6. Step 6: Final answer
    x = 38,741.08

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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.