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Finding the Fourth Proportional to 54,801.60, 82,202.40 and 19,742.40

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Solution

The fourth proportional to 54,801.60, 82,202.40 and 19,742.40 is: 29,613.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,801.60 : 82,202.40 = 19,742.40 : x
  2. Step 2: Convert to fraction form
    54,801.60/82,202.40 = 19,742.40/x
  3. Step 3: Cross multiply
    54,801.60x = 82,202.40 × 19,742.40
  4. Step 4: Simplify right side
    54,801.60x = 1,622,872,661.76
  5. Step 5: Solve for x
    x = 1,622,872,661.76/54,801.60
  6. Step 6: Final answer
    x = 29,613.60

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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.