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Finding the Fourth Proportional to 75,653, 113,469.29 and 31,273.60

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Solution

The fourth proportional to 75,653, 113,469.29 and 31,273.60 is: 46,906.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,653 : 113,469.29 = 31,273.60 : x
  2. Step 2: Convert to fraction form
    75,653/113,469.29 = 31,273.60/x
  3. Step 3: Cross multiply
    75,653x = 113,469.29 × 31,273.60
  4. Step 4: Simplify right side
    75,653x = 3,548,592,464.03
  5. Step 5: Solve for x
    x = 3,548,592,464.03/75,653
  6. Step 6: Final answer
    x = 46,906.17

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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.