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Finding the Fourth Proportional to 54,905.96, 75,713.65 and 46,974.44

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Solution

The fourth proportional to 54,905.96, 75,713.65 and 46,974.44 is: 64,776.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,905.96 : 75,713.65 = 46,974.44 : x
  2. Step 2: Convert to fraction form
    54,905.96/75,713.65 = 46,974.44/x
  3. Step 3: Cross multiply
    54,905.96x = 75,713.65 × 46,974.44
  4. Step 4: Simplify right side
    54,905.96x = 3,556,605,813.10
  5. Step 5: Solve for x
    x = 3,556,605,813.10/54,905.96
  6. Step 6: Final answer
    x = 64,776.32

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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.