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Finding the Fourth Proportional to 35,736.96, 49,306.96 and 28,159.80

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Solution

The fourth proportional to 35,736.96, 49,306.96 and 28,159.80 is: 38,852.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,736.96 : 49,306.96 = 28,159.80 : x
  2. Step 2: Convert to fraction form
    35,736.96/49,306.96 = 28,159.80/x
  3. Step 3: Cross multiply
    35,736.96x = 49,306.96 × 28,159.80
  4. Step 4: Simplify right side
    35,736.96x = 1,388,474,132.21
  5. Step 5: Solve for x
    x = 1,388,474,132.21/35,736.96
  6. Step 6: Final answer
    x = 38,852.61

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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.