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Finding the Fourth Proportional to 65,204.64, 97,846 and 28,268.64

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Solution

The fourth proportional to 65,204.64, 97,846 and 28,268.64 is: 42,419.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,204.64 : 97,846 = 28,268.64 : x
  2. Step 2: Convert to fraction form
    65,204.64/97,846 = 28,268.64/x
  3. Step 3: Cross multiply
    65,204.64x = 97,846 × 28,268.64
  4. Step 4: Simplify right side
    65,204.64x = 2,765,973,349.44
  5. Step 5: Solve for x
    x = 2,765,973,349.44/65,204.64
  6. Step 6: Final answer
    x = 42,419.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.