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Finding the Fourth Proportional to 48,492.57, 66,919.31 and 27,271.38

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Solution

The fourth proportional to 48,492.57, 66,919.31 and 27,271.38 is: 37,634.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,492.57 : 66,919.31 = 27,271.38 : x
  2. Step 2: Convert to fraction form
    48,492.57/66,919.31 = 27,271.38/x
  3. Step 3: Cross multiply
    48,492.57x = 66,919.31 × 27,271.38
  4. Step 4: Simplify right side
    48,492.57x = 1,824,982,302.61
  5. Step 5: Solve for x
    x = 1,824,982,302.61/48,492.57
  6. Step 6: Final answer
    x = 37,634.26

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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.