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Finding the Fourth Proportional to 54,809.60, 82,214.40 and 38,220.80

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Solution

The fourth proportional to 54,809.60, 82,214.40 and 38,220.80 is: 57,331.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,809.60 : 82,214.40 = 38,220.80 : x
  2. Step 2: Convert to fraction form
    54,809.60/82,214.40 = 38,220.80/x
  3. Step 3: Cross multiply
    54,809.60x = 82,214.40 × 38,220.80
  4. Step 4: Simplify right side
    54,809.60x = 3,142,300,139.52
  5. Step 5: Solve for x
    x = 3,142,300,139.52/54,809.60
  6. Step 6: Final answer
    x = 57,331.20

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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.