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Finding the Fourth Proportional to 35,781.48, 49,378.20 and 19,649.08

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Solution

The fourth proportional to 35,781.48, 49,378.20 and 19,649.08 is: 27,115.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,781.48 : 49,378.20 = 19,649.08 : x
  2. Step 2: Convert to fraction form
    35,781.48/49,378.20 = 19,649.08/x
  3. Step 3: Cross multiply
    35,781.48x = 49,378.20 × 19,649.08
  4. Step 4: Simplify right side
    35,781.48x = 970,236,202.06
  5. Step 5: Solve for x
    x = 970,236,202.06/35,781.48
  6. Step 6: Final answer
    x = 27,115.60

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