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Finding the Fourth Proportional to 82,855.44, 114,336.12 and 47,044.56

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Solution

The fourth proportional to 82,855.44, 114,336.12 and 47,044.56 is: 64,919.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,855.44 : 114,336.12 = 47,044.56 : x
  2. Step 2: Convert to fraction form
    82,855.44/114,336.12 = 47,044.56/x
  3. Step 3: Cross multiply
    82,855.44x = 114,336.12 × 47,044.56
  4. Step 4: Simplify right side
    82,855.44x = 5,378,892,457.51
  5. Step 5: Solve for x
    x = 5,378,892,457.51/82,855.44
  6. Step 6: Final answer
    x = 64,919.00

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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.