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Finding the Fourth Proportional to 35,700.50, 49,265.43 and 19,786.43

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Solution

The fourth proportional to 35,700.50, 49,265.43 and 19,786.43 is: 27,304.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,700.50 : 49,265.43 = 19,786.43 : x
  2. Step 2: Convert to fraction form
    35,700.50/49,265.43 = 19,786.43/x
  3. Step 3: Cross multiply
    35,700.50x = 49,265.43 × 19,786.43
  4. Step 4: Simplify right side
    35,700.50x = 974,786,982.11
  5. Step 5: Solve for x
    x = 974,786,982.11/35,700.50
  6. Step 6: Final answer
    x = 27,304.58

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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.