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Finding the Fourth Proportional to 82,659.63, 123,971.22 and 40,497.92

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Solution

The fourth proportional to 82,659.63, 123,971.22 and 40,497.92 is: 60,737.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,659.63 : 123,971.22 = 40,497.92 : x
  2. Step 2: Convert to fraction form
    82,659.63/123,971.22 = 40,497.92/x
  3. Step 3: Cross multiply
    82,659.63x = 123,971.22 × 40,497.92
  4. Step 4: Simplify right side
    82,659.63x = 5,020,575,930.01
  5. Step 5: Solve for x
    x = 5,020,575,930.01/82,659.63
  6. Step 6: Final answer
    x = 60,737.94

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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.