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Finding the Fourth Proportional to 35,698.50, 49,262.67 and 19,784.43

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Solution

The fourth proportional to 35,698.50, 49,262.67 and 19,784.43 is: 27,301.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,698.50 : 49,262.67 = 19,784.43 : x
  2. Step 2: Convert to fraction form
    35,698.50/49,262.67 = 19,784.43/x
  3. Step 3: Cross multiply
    35,698.50x = 49,262.67 × 19,784.43
  4. Step 4: Simplify right side
    35,698.50x = 974,633,846.23
  5. Step 5: Solve for x
    x = 974,633,846.23/35,698.50
  6. Step 6: Final answer
    x = 27,301.82

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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.