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Finding the Fourth Proportional to 65,102.62, 89,843.30 and 36,421.33

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Solution

The fourth proportional to 65,102.62, 89,843.30 and 36,421.33 is: 50,262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,102.62 : 89,843.30 = 36,421.33 : x
  2. Step 2: Convert to fraction form
    65,102.62/89,843.30 = 36,421.33/x
  3. Step 3: Cross multiply
    65,102.62x = 89,843.30 × 36,421.33
  4. Step 4: Simplify right side
    65,102.62x = 3,272,212,477.59
  5. Step 5: Solve for x
    x = 3,272,212,477.59/65,102.62
  6. Step 6: Final answer
    x = 50,262.38

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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.