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Finding the Fourth Proportional to 65,897.26, 90,938.06 and 35,682.58

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Solution

The fourth proportional to 65,897.26, 90,938.06 and 35,682.58 is: 49,241.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,897.26 : 90,938.06 = 35,682.58 : x
  2. Step 2: Convert to fraction form
    65,897.26/90,938.06 = 35,682.58/x
  3. Step 3: Cross multiply
    65,897.26x = 90,938.06 × 35,682.58
  4. Step 4: Simplify right side
    65,897.26x = 3,244,904,600.99
  5. Step 5: Solve for x
    x = 3,244,904,600.99/65,897.26
  6. Step 6: Final answer
    x = 49,241.87

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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.