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Finding the Fourth Proportional to 75,787.83, 104,588.01 and 41,797.80

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Solution

The fourth proportional to 75,787.83, 104,588.01 and 41,797.80 is: 57,681.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,787.83 : 104,588.01 = 41,797.80 : x
  2. Step 2: Convert to fraction form
    75,787.83/104,588.01 = 41,797.80/x
  3. Step 3: Cross multiply
    75,787.83x = 104,588.01 × 41,797.80
  4. Step 4: Simplify right side
    75,787.83x = 4,371,548,724.38
  5. Step 5: Solve for x
    x = 4,371,548,724.38/75,787.83
  6. Step 6: Final answer
    x = 57,681.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.