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Finding the Fourth Proportional to 50,742.13, 70,023.03 and 27,771.84

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Solution

The fourth proportional to 50,742.13, 70,023.03 and 27,771.84 is: 38,324.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,742.13 : 70,023.03 = 27,771.84 : x
  2. Step 2: Convert to fraction form
    50,742.13/70,023.03 = 27,771.84/x
  3. Step 3: Cross multiply
    50,742.13x = 70,023.03 × 27,771.84
  4. Step 4: Simplify right side
    50,742.13x = 1,944,668,210.42
  5. Step 5: Solve for x
    x = 1,944,668,210.42/50,742.13
  6. Step 6: Final answer
    x = 38,324.53

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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.