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Finding the Fourth Proportional to 37,654.38, 51,957.64 and 22,543.42

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Solution

The fourth proportional to 37,654.38, 51,957.64 and 22,543.42 is: 31,106.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,654.38 : 51,957.64 = 22,543.42 : x
  2. Step 2: Convert to fraction form
    37,654.38/51,957.64 = 22,543.42/x
  3. Step 3: Cross multiply
    37,654.38x = 51,957.64 × 22,543.42
  4. Step 4: Simplify right side
    37,654.38x = 1,171,302,900.73
  5. Step 5: Solve for x
    x = 1,171,302,900.73/37,654.38
  6. Step 6: Final answer
    x = 31,106.68

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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.