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Finding the Fourth Proportional to 35,977.84, 49,645.80 and 20,060.80

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Solution

The fourth proportional to 35,977.84, 49,645.80 and 20,060.80 is: 27,681.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,977.84 : 49,645.80 = 20,060.80 : x
  2. Step 2: Convert to fraction form
    35,977.84/49,645.80 = 20,060.80/x
  3. Step 3: Cross multiply
    35,977.84x = 49,645.80 × 20,060.80
  4. Step 4: Simplify right side
    35,977.84x = 995,934,464.64
  5. Step 5: Solve for x
    x = 995,934,464.64/35,977.84
  6. Step 6: Final answer
    x = 27,681.89

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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.