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Finding the Fourth Proportional to 61,682.28, 85,119.84 and 34,457.64

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Solution

The fourth proportional to 61,682.28, 85,119.84 and 34,457.64 is: 47,550.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,682.28 : 85,119.84 = 34,457.64 : x
  2. Step 2: Convert to fraction form
    61,682.28/85,119.84 = 34,457.64/x
  3. Step 3: Cross multiply
    61,682.28x = 85,119.84 × 34,457.64
  4. Step 4: Simplify right side
    61,682.28x = 2,933,028,803.58
  5. Step 5: Solve for x
    x = 2,933,028,803.58/61,682.28
  6. Step 6: Final answer
    x = 47,550.59

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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.