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Finding the Fourth Proportional to 82,825.84, 114,296.54 and 50,614.32

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Solution

The fourth proportional to 82,825.84, 114,296.54 and 50,614.32 is: 69,845.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,825.84 : 114,296.54 = 50,614.32 : x
  2. Step 2: Convert to fraction form
    82,825.84/114,296.54 = 50,614.32/x
  3. Step 3: Cross multiply
    82,825.84x = 114,296.54 × 50,614.32
  4. Step 4: Simplify right side
    82,825.84x = 5,785,041,397.38
  5. Step 5: Solve for x
    x = 5,785,041,397.38/82,825.84
  6. Step 6: Final answer
    x = 69,845.85

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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.