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Finding the Fourth Proportional to 49,492.60, 68,301.39 and 27,982.98

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Solution

The fourth proportional to 49,492.60, 68,301.39 and 27,982.98 is: 38,617.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,492.60 : 68,301.39 = 27,982.98 : x
  2. Step 2: Convert to fraction form
    49,492.60/68,301.39 = 27,982.98/x
  3. Step 3: Cross multiply
    49,492.60x = 68,301.39 × 27,982.98
  4. Step 4: Simplify right side
    49,492.60x = 1,911,276,535.28
  5. Step 5: Solve for x
    x = 1,911,276,535.28/49,492.60
  6. Step 6: Final answer
    x = 38,617.42

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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.