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Finding the Fourth Proportional to 35,781.76, 49,375.22 and 19,864.48

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Solution

The fourth proportional to 35,781.76, 49,375.22 and 19,864.48 is: 27,410.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,781.76 : 49,375.22 = 19,864.48 : x
  2. Step 2: Convert to fraction form
    35,781.76/49,375.22 = 19,864.48/x
  3. Step 3: Cross multiply
    35,781.76x = 49,375.22 × 19,864.48
  4. Step 4: Simplify right side
    35,781.76x = 980,813,070.19
  5. Step 5: Solve for x
    x = 980,813,070.19/35,781.76
  6. Step 6: Final answer
    x = 27,410.98

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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.