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Finding the Fourth Proportional to 37,806.84, 52,176.02 and 25,038

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Solution

The fourth proportional to 37,806.84, 52,176.02 and 25,038 is: 34,554.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,806.84 : 52,176.02 = 25,038 : x
  2. Step 2: Convert to fraction form
    37,806.84/52,176.02 = 25,038/x
  3. Step 3: Cross multiply
    37,806.84x = 52,176.02 × 25,038
  4. Step 4: Simplify right side
    37,806.84x = 1,306,383,063.57
  5. Step 5: Solve for x
    x = 1,306,383,063.57/37,806.84
  6. Step 6: Final answer
    x = 34,554.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.