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Finding the Fourth Proportional to 67,827.38, 93,601.78 and 37,617.31

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Solution

The fourth proportional to 67,827.38, 93,601.78 and 37,617.31 is: 51,911.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,827.38 : 93,601.78 = 37,617.31 : x
  2. Step 2: Convert to fraction form
    67,827.38/93,601.78 = 37,617.31/x
  3. Step 3: Cross multiply
    67,827.38x = 93,601.78 × 37,617.31
  4. Step 4: Simplify right side
    67,827.38x = 3,521,047,197.77
  5. Step 5: Solve for x
    x = 3,521,047,197.77/67,827.38
  6. Step 6: Final answer
    x = 51,911.89

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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.