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Finding the Fourth Proportional to 46,805.44, 64,542.42 and 30,869.56

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Solution

The fourth proportional to 46,805.44, 64,542.42 and 30,869.56 is: 42,567.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,805.44 : 64,542.42 = 30,869.56 : x
  2. Step 2: Convert to fraction form
    46,805.44/64,542.42 = 30,869.56/x
  3. Step 3: Cross multiply
    46,805.44x = 64,542.42 × 30,869.56
  4. Step 4: Simplify right side
    46,805.44x = 1,992,396,106.74
  5. Step 5: Solve for x
    x = 1,992,396,106.74/46,805.44
  6. Step 6: Final answer
    x = 42,567.62

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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.