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Finding the Fourth Proportional to 69,902.84, 104,766.74 and 55,053.12

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Solution

The fourth proportional to 69,902.84, 104,766.74 and 55,053.12 is: 82,510.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,902.84 : 104,766.74 = 55,053.12 : x
  2. Step 2: Convert to fraction form
    69,902.84/104,766.74 = 55,053.12/x
  3. Step 3: Cross multiply
    69,902.84x = 104,766.74 × 55,053.12
  4. Step 4: Simplify right side
    69,902.84x = 5,767,735,909.23
  5. Step 5: Solve for x
    x = 5,767,735,909.23/69,902.84
  6. Step 6: Final answer
    x = 82,510.75

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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.