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Finding the Fourth Proportional to 62,816, 94,267.20 and 25,880

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Solution

The fourth proportional to 62,816, 94,267.20 and 25,880 is: 38,837.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,816 : 94,267.20 = 25,880 : x
  2. Step 2: Convert to fraction form
    62,816/94,267.20 = 25,880/x
  3. Step 3: Cross multiply
    62,816x = 94,267.20 × 25,880
  4. Step 4: Simplify right side
    62,816x = 2,439,635,136
  5. Step 5: Solve for x
    x = 2,439,635,136/62,816
  6. Step 6: Final answer
    x = 38,837.80

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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.