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Finding the Fourth Proportional to 65,656.64, 98,416.92 and 30,567.44

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Solution

The fourth proportional to 65,656.64, 98,416.92 and 30,567.44 is: 45,819.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,656.64 : 98,416.92 = 30,567.44 : x
  2. Step 2: Convert to fraction form
    65,656.64/98,416.92 = 30,567.44/x
  3. Step 3: Cross multiply
    65,656.64x = 98,416.92 × 30,567.44
  4. Step 4: Simplify right side
    65,656.64x = 3,008,353,297.08
  5. Step 5: Solve for x
    x = 3,008,353,297.08/65,656.64
  6. Step 6: Final answer
    x = 45,819.48

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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.