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Finding the Fourth Proportional to 65,297, 90,109.92 and 35,489

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Solution

The fourth proportional to 65,297, 90,109.92 and 35,489 is: 48,974.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,297 : 90,109.92 = 35,489 : x
  2. Step 2: Convert to fraction form
    65,297/90,109.92 = 35,489/x
  3. Step 3: Cross multiply
    65,297x = 90,109.92 × 35,489
  4. Step 4: Simplify right side
    65,297x = 3,197,910,950.88
  5. Step 5: Solve for x
    x = 3,197,910,950.88/65,297
  6. Step 6: Final answer
    x = 48,974.85

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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.