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Finding the Fourth Proportional to 37,310.49, 51,492.11 and 27,862.65

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Solution

The fourth proportional to 37,310.49, 51,492.11 and 27,862.65 is: 38,453.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,310.49 : 51,492.11 = 27,862.65 : x
  2. Step 2: Convert to fraction form
    37,310.49/51,492.11 = 27,862.65/x
  3. Step 3: Cross multiply
    37,310.49x = 51,492.11 × 27,862.65
  4. Step 4: Simplify right side
    37,310.49x = 1,434,706,499.38
  5. Step 5: Solve for x
    x = 1,434,706,499.38/37,310.49
  6. Step 6: Final answer
    x = 38,453.17

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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.