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Finding the Fourth Proportional to 65,682.63, 98,530.32 and 17,650.64

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Solution

The fourth proportional to 65,682.63, 98,530.32 and 17,650.64 is: 26,477.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,682.63 : 98,530.32 = 17,650.64 : x
  2. Step 2: Convert to fraction form
    65,682.63/98,530.32 = 17,650.64/x
  3. Step 3: Cross multiply
    65,682.63x = 98,530.32 × 17,650.64
  4. Step 4: Simplify right side
    65,682.63x = 1,739,122,714.75
  5. Step 5: Solve for x
    x = 1,739,122,714.75/65,682.63
  6. Step 6: Final answer
    x = 26,477.67

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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.