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Finding the Fourth Proportional to 49,783.76, 68,702.38 and 27,123.83

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Solution

The fourth proportional to 49,783.76, 68,702.38 and 27,123.83 is: 37,431.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,783.76 : 68,702.38 = 27,123.83 : x
  2. Step 2: Convert to fraction form
    49,783.76/68,702.38 = 27,123.83/x
  3. Step 3: Cross multiply
    49,783.76x = 68,702.38 × 27,123.83
  4. Step 4: Simplify right side
    49,783.76x = 1,863,471,332.20
  5. Step 5: Solve for x
    x = 1,863,471,332.20/49,783.76
  6. Step 6: Final answer
    x = 37,431.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.