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Finding the Fourth Proportional to 54,787.60, 82,133.40 and 37,200.40

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Solution

The fourth proportional to 54,787.60, 82,133.40 and 37,200.40 is: 55,768.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,787.60 : 82,133.40 = 37,200.40 : x
  2. Step 2: Convert to fraction form
    54,787.60/82,133.40 = 37,200.40/x
  3. Step 3: Cross multiply
    54,787.60x = 82,133.40 × 37,200.40
  4. Step 4: Simplify right side
    54,787.60x = 3,055,395,333.36
  5. Step 5: Solve for x
    x = 3,055,395,333.36/54,787.60
  6. Step 6: Final answer
    x = 55,768.01

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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.