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Finding the Fourth Proportional to 65,076.60, 97,512.80 and 38,766.96

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Solution

The fourth proportional to 65,076.60, 97,512.80 and 38,766.96 is: 58,089.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,076.60 : 97,512.80 = 38,766.96 : x
  2. Step 2: Convert to fraction form
    65,076.60/97,512.80 = 38,766.96/x
  3. Step 3: Cross multiply
    65,076.60x = 97,512.80 × 38,766.96
  4. Step 4: Simplify right side
    65,076.60x = 3,780,274,817.09
  5. Step 5: Solve for x
    x = 3,780,274,817.09/65,076.60
  6. Step 6: Final answer
    x = 58,089.62

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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.