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Finding the Fourth Proportional to 80,656.40, 120,968.40 and 38,536.40

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Solution

The fourth proportional to 80,656.40, 120,968.40 and 38,536.40 is: 57,796.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,656.40 : 120,968.40 = 38,536.40 : x
  2. Step 2: Convert to fraction form
    80,656.40/120,968.40 = 38,536.40/x
  3. Step 3: Cross multiply
    80,656.40x = 120,968.40 × 38,536.40
  4. Step 4: Simplify right side
    80,656.40x = 4,661,686,649.76
  5. Step 5: Solve for x
    x = 4,661,686,649.76/80,656.40
  6. Step 6: Final answer
    x = 57,796.86

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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.