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Finding the Fourth Proportional to 73,782.48, 101,824.62 and 41,954.34

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Solution

The fourth proportional to 73,782.48, 101,824.62 and 41,954.34 is: 57,899.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,782.48 : 101,824.62 = 41,954.34 : x
  2. Step 2: Convert to fraction form
    73,782.48/101,824.62 = 41,954.34/x
  3. Step 3: Cross multiply
    73,782.48x = 101,824.62 × 41,954.34
  4. Step 4: Simplify right side
    73,782.48x = 4,271,984,727.85
  5. Step 5: Solve for x
    x = 4,271,984,727.85/73,782.48
  6. Step 6: Final answer
    x = 57,899.72

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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.