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Finding the Fourth Proportional to 39,617, 59,351.34 and 19,872.44

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Solution

The fourth proportional to 39,617, 59,351.34 and 19,872.44 is: 29,771.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,617 : 59,351.34 = 19,872.44 : x
  2. Step 2: Convert to fraction form
    39,617/59,351.34 = 19,872.44/x
  3. Step 3: Cross multiply
    39,617x = 59,351.34 × 19,872.44
  4. Step 4: Simplify right side
    39,617x = 1,179,455,943.07
  5. Step 5: Solve for x
    x = 1,179,455,943.07/39,617
  6. Step 6: Final answer
    x = 29,771.46

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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.