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Finding the Fourth Proportional to 65,090.16, 89,825.07 and 38,241.30

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Solution

The fourth proportional to 65,090.16, 89,825.07 and 38,241.30 is: 52,773.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,090.16 : 89,825.07 = 38,241.30 : x
  2. Step 2: Convert to fraction form
    65,090.16/89,825.07 = 38,241.30/x
  3. Step 3: Cross multiply
    65,090.16x = 89,825.07 × 38,241.30
  4. Step 4: Simplify right side
    65,090.16x = 3,435,027,449.39
  5. Step 5: Solve for x
    x = 3,435,027,449.39/65,090.16
  6. Step 6: Final answer
    x = 52,773.38

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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.