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Finding the Fourth Proportional to 54,374.60, 81,497.10 and 22,784.60

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Solution

The fourth proportional to 54,374.60, 81,497.10 and 22,784.60 is: 34,149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,374.60 : 81,497.10 = 22,784.60 : x
  2. Step 2: Convert to fraction form
    54,374.60/81,497.10 = 22,784.60/x
  3. Step 3: Cross multiply
    54,374.60x = 81,497.10 × 22,784.60
  4. Step 4: Simplify right side
    54,374.60x = 1,856,878,824.66
  5. Step 5: Solve for x
    x = 1,856,878,824.66/54,374.60
  6. Step 6: Final answer
    x = 34,149.75

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Why These Related Problems?

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