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Finding the Fourth Proportional to 82,022.92, 122,938.80 and 37,654.36

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Solution

The fourth proportional to 82,022.92, 122,938.80 and 37,654.36 is: 56,437.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,022.92 : 122,938.80 = 37,654.36 : x
  2. Step 2: Convert to fraction form
    82,022.92/122,938.80 = 37,654.36/x
  3. Step 3: Cross multiply
    82,022.92x = 122,938.80 × 37,654.36
  4. Step 4: Simplify right side
    82,022.92x = 4,629,181,833.17
  5. Step 5: Solve for x
    x = 4,629,181,833.17/82,022.92
  6. Step 6: Final answer
    x = 56,437.66

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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.