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Finding the Fourth Proportional to 37,730.38, 52,046.24 and 23,558.62

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Solution

The fourth proportional to 37,730.38, 52,046.24 and 23,558.62 is: 32,497.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,730.38 : 52,046.24 = 23,558.62 : x
  2. Step 2: Convert to fraction form
    37,730.38/52,046.24 = 23,558.62/x
  3. Step 3: Cross multiply
    37,730.38x = 52,046.24 × 23,558.62
  4. Step 4: Simplify right side
    37,730.38x = 1,226,137,590.59
  5. Step 5: Solve for x
    x = 1,226,137,590.59/37,730.38
  6. Step 6: Final answer
    x = 32,497.36

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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.