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Finding the Fourth Proportional to 75,295.33, 112,914.20 and 25,362

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Solution

The fourth proportional to 75,295.33, 112,914.20 and 25,362 is: 38,033.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,295.33 : 112,914.20 = 25,362 : x
  2. Step 2: Convert to fraction form
    75,295.33/112,914.20 = 25,362/x
  3. Step 3: Cross multiply
    75,295.33x = 112,914.20 × 25,362
  4. Step 4: Simplify right side
    75,295.33x = 2,863,729,940.40
  5. Step 5: Solve for x
    x = 2,863,729,940.40/75,295.33
  6. Step 6: Final answer
    x = 38,033.30

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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.