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Finding the Fourth Proportional to 35,741, 49,322.62 and 20,839.88

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Solution

The fourth proportional to 35,741, 49,322.62 and 20,839.88 is: 28,759.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,741 : 49,322.62 = 20,839.88 : x
  2. Step 2: Convert to fraction form
    35,741/49,322.62 = 20,839.88/x
  3. Step 3: Cross multiply
    35,741x = 49,322.62 × 20,839.88
  4. Step 4: Simplify right side
    35,741x = 1,027,877,482.09
  5. Step 5: Solve for x
    x = 1,027,877,482.09/35,741
  6. Step 6: Final answer
    x = 28,759.06

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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.