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Finding the Fourth Proportional to 54,274.40, 81,411.60 and 32,112.80

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Solution

The fourth proportional to 54,274.40, 81,411.60 and 32,112.80 is: 48,169.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,274.40 : 81,411.60 = 32,112.80 : x
  2. Step 2: Convert to fraction form
    54,274.40/81,411.60 = 32,112.80/x
  3. Step 3: Cross multiply
    54,274.40x = 81,411.60 × 32,112.80
  4. Step 4: Simplify right side
    54,274.40x = 2,614,354,428.48
  5. Step 5: Solve for x
    x = 2,614,354,428.48/54,274.40
  6. Step 6: Final answer
    x = 48,169.20

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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.