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Finding the Fourth Proportional to 65,930.95, 98,820.54 and 32,672.86

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Solution

The fourth proportional to 65,930.95, 98,820.54 and 32,672.86 is: 48,971.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,930.95 : 98,820.54 = 32,672.86 : x
  2. Step 2: Convert to fraction form
    65,930.95/98,820.54 = 32,672.86/x
  3. Step 3: Cross multiply
    65,930.95x = 98,820.54 × 32,672.86
  4. Step 4: Simplify right side
    65,930.95x = 3,228,749,668.54
  5. Step 5: Solve for x
    x = 3,228,749,668.54/65,930.95
  6. Step 6: Final answer
    x = 48,971.68

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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.