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Finding the Fourth Proportional to 35,704, 49,251 and 22,268.80

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Solution

The fourth proportional to 35,704, 49,251 and 22,268.80 is: 30,718.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,704 : 49,251 = 22,268.80 : x
  2. Step 2: Convert to fraction form
    35,704/49,251 = 22,268.80/x
  3. Step 3: Cross multiply
    35,704x = 49,251 × 22,268.80
  4. Step 4: Simplify right side
    35,704x = 1,096,760,668.80
  5. Step 5: Solve for x
    x = 1,096,760,668.80/35,704
  6. Step 6: Final answer
    x = 30,718.15

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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.