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Finding the Fourth Proportional to 50,741.90, 70,023.96 and 28,082.45

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Solution

The fourth proportional to 50,741.90, 70,023.96 and 28,082.45 is: 38,753.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,741.90 : 70,023.96 = 28,082.45 : x
  2. Step 2: Convert to fraction form
    50,741.90/70,023.96 = 28,082.45/x
  3. Step 3: Cross multiply
    50,741.90x = 70,023.96 × 28,082.45
  4. Step 4: Simplify right side
    50,741.90x = 1,966,444,530.56
  5. Step 5: Solve for x
    x = 1,966,444,530.56/50,741.90
  6. Step 6: Final answer
    x = 38,753.86

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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.