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Finding the Fourth Proportional to 82,759.50, 114,208.11 and 45,034.02

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Solution

The fourth proportional to 82,759.50, 114,208.11 and 45,034.02 is: 62,146.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,759.50 : 114,208.11 = 45,034.02 : x
  2. Step 2: Convert to fraction form
    82,759.50/114,208.11 = 45,034.02/x
  3. Step 3: Cross multiply
    82,759.50x = 114,208.11 × 45,034.02
  4. Step 4: Simplify right side
    82,759.50x = 5,143,250,309.90
  5. Step 5: Solve for x
    x = 5,143,250,309.90/82,759.50
  6. Step 6: Final answer
    x = 62,146.95

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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.