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Finding the Fourth Proportional to 35,646.80, 49,197.77 and 20,536.52

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Solution

The fourth proportional to 35,646.80, 49,197.77 and 20,536.52 is: 28,343.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,646.80 : 49,197.77 = 20,536.52 : x
  2. Step 2: Convert to fraction form
    35,646.80/49,197.77 = 20,536.52/x
  3. Step 3: Cross multiply
    35,646.80x = 49,197.77 × 20,536.52
  4. Step 4: Simplify right side
    35,646.80x = 1,010,350,987.56
  5. Step 5: Solve for x
    x = 1,010,350,987.56/35,646.80
  6. Step 6: Final answer
    x = 28,343.39

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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.