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Finding the Fourth Proportional to 78,820.38, 108,796.23 and 48,615.12

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Solution

The fourth proportional to 78,820.38, 108,796.23 and 48,615.12 is: 67,103.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,820.38 : 108,796.23 = 48,615.12 : x
  2. Step 2: Convert to fraction form
    78,820.38/108,796.23 = 48,615.12/x
  3. Step 3: Cross multiply
    78,820.38x = 108,796.23 × 48,615.12
  4. Step 4: Simplify right side
    78,820.38x = 5,289,141,777.00
  5. Step 5: Solve for x
    x = 5,289,141,777.00/78,820.38
  6. Step 6: Final answer
    x = 67,103.73

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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.