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Finding the Fourth Proportional to 82,495.96, 123,584.76 and 49,242.64

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Solution

The fourth proportional to 82,495.96, 123,584.76 and 49,242.64 is: 73,768.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,495.96 : 123,584.76 = 49,242.64 : x
  2. Step 2: Convert to fraction form
    82,495.96/123,584.76 = 49,242.64/x
  3. Step 3: Cross multiply
    82,495.96x = 123,584.76 × 49,242.64
  4. Step 4: Simplify right side
    82,495.96x = 6,085,639,846.17
  5. Step 5: Solve for x
    x = 6,085,639,846.17/82,495.96
  6. Step 6: Final answer
    x = 73,768.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.