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Finding the Fourth Proportional to 34,792, 52,197.60 and 10,168

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Solution

The fourth proportional to 34,792, 52,197.60 and 10,168 is: 15,254.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,792 : 52,197.60 = 10,168 : x
  2. Step 2: Convert to fraction form
    34,792/52,197.60 = 10,168/x
  3. Step 3: Cross multiply
    34,792x = 52,197.60 × 10,168
  4. Step 4: Simplify right side
    34,792x = 530,745,196.80
  5. Step 5: Solve for x
    x = 530,745,196.80/34,792
  6. Step 6: Final answer
    x = 15,254.81

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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.