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Finding the Fourth Proportional to 39,642.26, 54,705.90 and 21,737.40

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Solution

The fourth proportional to 39,642.26, 54,705.90 and 21,737.40 is: 29,997.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,642.26 : 54,705.90 = 21,737.40 : x
  2. Step 2: Convert to fraction form
    39,642.26/54,705.90 = 21,737.40/x
  3. Step 3: Cross multiply
    39,642.26x = 54,705.90 × 21,737.40
  4. Step 4: Simplify right side
    39,642.26x = 1,189,164,030.66
  5. Step 5: Solve for x
    x = 1,189,164,030.66/39,642.26
  6. Step 6: Final answer
    x = 29,997.38

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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.