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Finding the Fourth Proportional to 54,412.90, 81,619.22 and 30,709.70

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Solution

The fourth proportional to 54,412.90, 81,619.22 and 30,709.70 is: 46,064.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,412.90 : 81,619.22 = 30,709.70 : x
  2. Step 2: Convert to fraction form
    54,412.90/81,619.22 = 30,709.70/x
  3. Step 3: Cross multiply
    54,412.90x = 81,619.22 × 30,709.70
  4. Step 4: Simplify right side
    54,412.90x = 2,506,501,760.43
  5. Step 5: Solve for x
    x = 2,506,501,760.43/54,412.90
  6. Step 6: Final answer
    x = 46,064.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.