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Finding the Fourth Proportional to 77,089.96, 115,633.14 and 35,536.96

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Solution

The fourth proportional to 77,089.96, 115,633.14 and 35,536.96 is: 53,304.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,089.96 : 115,633.14 = 35,536.96 : x
  2. Step 2: Convert to fraction form
    77,089.96/115,633.14 = 35,536.96/x
  3. Step 3: Cross multiply
    77,089.96x = 115,633.14 × 35,536.96
  4. Step 4: Simplify right side
    77,089.96x = 4,109,250,270.85
  5. Step 5: Solve for x
    x = 4,109,250,270.85/77,089.96
  6. Step 6: Final answer
    x = 53,304.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.