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Finding the Fourth Proportional to 54,005.60, 80,984.10 and 20,714.60

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Solution

The fourth proportional to 54,005.60, 80,984.10 and 20,714.60 is: 31,062.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,005.60 : 80,984.10 = 20,714.60 : x
  2. Step 2: Convert to fraction form
    54,005.60/80,984.10 = 20,714.60/x
  3. Step 3: Cross multiply
    54,005.60x = 80,984.10 × 20,714.60
  4. Step 4: Simplify right side
    54,005.60x = 1,677,553,237.86
  5. Step 5: Solve for x
    x = 1,677,553,237.86/54,005.60
  6. Step 6: Final answer
    x = 31,062.58

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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.