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Finding the Fourth Proportional to 105,766.74, 158,634.54 and 34,696.89

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Solution

The fourth proportional to 105,766.74, 158,634.54 and 34,696.89 is: 52,040.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,766.74 : 158,634.54 = 34,696.89 : x
  2. Step 2: Convert to fraction form
    105,766.74/158,634.54 = 34,696.89/x
  3. Step 3: Cross multiply
    105,766.74x = 158,634.54 × 34,696.89
  4. Step 4: Simplify right side
    105,766.74x = 5,504,125,184.58
  5. Step 5: Solve for x
    x = 5,504,125,184.58/105,766.74
  6. Step 6: Final answer
    x = 52,040.23

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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.