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Finding the Fourth Proportional to 70,826.86, 97,757.67 and 40,611.64

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Solution

The fourth proportional to 70,826.86, 97,757.67 and 40,611.64 is: 56,053.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,826.86 : 97,757.67 = 40,611.64 : x
  2. Step 2: Convert to fraction form
    70,826.86/97,757.67 = 40,611.64/x
  3. Step 3: Cross multiply
    70,826.86x = 97,757.67 × 40,611.64
  4. Step 4: Simplify right side
    70,826.86x = 3,970,099,301.28
  5. Step 5: Solve for x
    x = 3,970,099,301.28/70,826.86
  6. Step 6: Final answer
    x = 56,053.58

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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.