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Finding the Fourth Proportional to 105,915.25, 158,855.36 and 34,838.77

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Solution

The fourth proportional to 105,915.25, 158,855.36 and 34,838.77 is: 52,252.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,915.25 : 158,855.36 = 34,838.77 : x
  2. Step 2: Convert to fraction form
    105,915.25/158,855.36 = 34,838.77/x
  3. Step 3: Cross multiply
    105,915.25x = 158,855.36 × 34,838.77
  4. Step 4: Simplify right side
    105,915.25x = 5,534,324,733.80
  5. Step 5: Solve for x
    x = 5,534,324,733.80/105,915.25
  6. Step 6: Final answer
    x = 52,252.39

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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.