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Finding the Fourth Proportional to 82,805.04, 114,273 and 45,081.36

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Solution

The fourth proportional to 82,805.04, 114,273 and 45,081.36 is: 62,213.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,805.04 : 114,273 = 45,081.36 : x
  2. Step 2: Convert to fraction form
    82,805.04/114,273 = 45,081.36/x
  3. Step 3: Cross multiply
    82,805.04x = 114,273 × 45,081.36
  4. Step 4: Simplify right side
    82,805.04x = 5,151,582,251.28
  5. Step 5: Solve for x
    x = 5,151,582,251.28/82,805.04
  6. Step 6: Final answer
    x = 62,213.39

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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.