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Finding the Fourth Proportional to 46,930.71, 64,766 and 25,709.97

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Solution

The fourth proportional to 46,930.71, 64,766 and 25,709.97 is: 35,480.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,930.71 : 64,766 = 25,709.97 : x
  2. Step 2: Convert to fraction form
    46,930.71/64,766 = 25,709.97/x
  3. Step 3: Cross multiply
    46,930.71x = 64,766 × 25,709.97
  4. Step 4: Simplify right side
    46,930.71x = 1,665,131,917.02
  5. Step 5: Solve for x
    x = 1,665,131,917.02/46,930.71
  6. Step 6: Final answer
    x = 35,480.65

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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.