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Finding the Fourth Proportional to 82,706.74, 114,136.06 and 49,166.26

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Solution

The fourth proportional to 82,706.74, 114,136.06 and 49,166.26 is: 67,849.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,706.74 : 114,136.06 = 49,166.26 : x
  2. Step 2: Convert to fraction form
    82,706.74/114,136.06 = 49,166.26/x
  3. Step 3: Cross multiply
    82,706.74x = 114,136.06 × 49,166.26
  4. Step 4: Simplify right side
    82,706.74x = 5,611,643,201.34
  5. Step 5: Solve for x
    x = 5,611,643,201.34/82,706.74
  6. Step 6: Final answer
    x = 67,849.89

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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.