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Finding the Fourth Proportional to 57,435.83, 86,153.82 and 27,858.02

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Solution

The fourth proportional to 57,435.83, 86,153.82 and 27,858.02 is: 41,787.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,435.83 : 86,153.82 = 27,858.02 : x
  2. Step 2: Convert to fraction form
    57,435.83/86,153.82 = 27,858.02/x
  3. Step 3: Cross multiply
    57,435.83x = 86,153.82 × 27,858.02
  4. Step 4: Simplify right side
    57,435.83x = 2,400,074,840.64
  5. Step 5: Solve for x
    x = 2,400,074,840.64/57,435.83
  6. Step 6: Final answer
    x = 41,787.07

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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.