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Finding the Fourth Proportional to 65,734.96, 90,682.53 and 43,063.97

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Solution

The fourth proportional to 65,734.96, 90,682.53 and 43,063.97 is: 59,407.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,734.96 : 90,682.53 = 43,063.97 : x
  2. Step 2: Convert to fraction form
    65,734.96/90,682.53 = 43,063.97/x
  3. Step 3: Cross multiply
    65,734.96x = 90,682.53 × 43,063.97
  4. Step 4: Simplify right side
    65,734.96x = 3,905,149,476.02
  5. Step 5: Solve for x
    x = 3,905,149,476.02/65,734.96
  6. Step 6: Final answer
    x = 59,407.50

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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.