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Finding the Fourth Proportional to 73,693.85, 101,774.71 and 50,783.24

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Solution

The fourth proportional to 73,693.85, 101,774.71 and 50,783.24 is: 70,134.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,693.85 : 101,774.71 = 50,783.24 : x
  2. Step 2: Convert to fraction form
    73,693.85/101,774.71 = 50,783.24/x
  3. Step 3: Cross multiply
    73,693.85x = 101,774.71 × 50,783.24
  4. Step 4: Simplify right side
    73,693.85x = 5,168,449,523.86
  5. Step 5: Solve for x
    x = 5,168,449,523.86/73,693.85
  6. Step 6: Final answer
    x = 70,134.07

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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.