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Finding the Fourth Proportional to 82,697.68, 114,132.66 and 49,163.68

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Solution

The fourth proportional to 82,697.68, 114,132.66 and 49,163.68 is: 67,851.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,697.68 : 114,132.66 = 49,163.68 : x
  2. Step 2: Convert to fraction form
    82,697.68/114,132.66 = 49,163.68/x
  3. Step 3: Cross multiply
    82,697.68x = 114,132.66 × 49,163.68
  4. Step 4: Simplify right side
    82,697.68x = 5,611,181,573.79
  5. Step 5: Solve for x
    x = 5,611,181,573.79/82,697.68
  6. Step 6: Final answer
    x = 67,851.74

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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.