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Finding the Fourth Proportional to 35,487.64, 48,992.64 and 25,918

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Solution

The fourth proportional to 35,487.64, 48,992.64 and 25,918 is: 35,781.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,487.64 : 48,992.64 = 25,918 : x
  2. Step 2: Convert to fraction form
    35,487.64/48,992.64 = 25,918/x
  3. Step 3: Cross multiply
    35,487.64x = 48,992.64 × 25,918
  4. Step 4: Simplify right side
    35,487.64x = 1,269,791,243.52
  5. Step 5: Solve for x
    x = 1,269,791,243.52/35,487.64
  6. Step 6: Final answer
    x = 35,781.23

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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.