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Finding the Fourth Proportional to 49,403.80, 68,177.94 and 27,894.76

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Solution

The fourth proportional to 49,403.80, 68,177.94 and 27,894.76 is: 38,495.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,403.80 : 68,177.94 = 27,894.76 : x
  2. Step 2: Convert to fraction form
    49,403.80/68,177.94 = 27,894.76/x
  3. Step 3: Cross multiply
    49,403.80x = 68,177.94 × 27,894.76
  4. Step 4: Simplify right side
    49,403.80x = 1,901,807,273.59
  5. Step 5: Solve for x
    x = 1,901,807,273.59/49,403.80
  6. Step 6: Final answer
    x = 38,495.16

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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.