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Finding the Fourth Proportional to 54,878.58, 82,261.37 and 21,585.15

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Solution

The fourth proportional to 54,878.58, 82,261.37 and 21,585.15 is: 32,355.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,878.58 : 82,261.37 = 21,585.15 : x
  2. Step 2: Convert to fraction form
    54,878.58/82,261.37 = 21,585.15/x
  3. Step 3: Cross multiply
    54,878.58x = 82,261.37 × 21,585.15
  4. Step 4: Simplify right side
    54,878.58x = 1,775,624,064.62
  5. Step 5: Solve for x
    x = 1,775,624,064.62/54,878.58
  6. Step 6: Final answer
    x = 32,355.50

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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.