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Finding the Fourth Proportional to 82,102.50, 113,302.44 and 49,827.78

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Solution

The fourth proportional to 82,102.50, 113,302.44 and 49,827.78 is: 68,762.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,102.50 : 113,302.44 = 49,827.78 : x
  2. Step 2: Convert to fraction form
    82,102.50/113,302.44 = 49,827.78/x
  3. Step 3: Cross multiply
    82,102.50x = 113,302.44 × 49,827.78
  4. Step 4: Simplify right side
    82,102.50x = 5,645,609,053.78
  5. Step 5: Solve for x
    x = 5,645,609,053.78/82,102.50
  6. Step 6: Final answer
    x = 68,762.94

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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.