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Finding the Fourth Proportional to 65,546.82, 90,441.03 and 38,317.62

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Solution

The fourth proportional to 65,546.82, 90,441.03 and 38,317.62 is: 52,870.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,546.82 : 90,441.03 = 38,317.62 : x
  2. Step 2: Convert to fraction form
    65,546.82/90,441.03 = 38,317.62/x
  3. Step 3: Cross multiply
    65,546.82x = 90,441.03 × 38,317.62
  4. Step 4: Simplify right side
    65,546.82x = 3,465,485,019.95
  5. Step 5: Solve for x
    x = 3,465,485,019.95/65,546.82
  6. Step 6: Final answer
    x = 52,870.38

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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.