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Finding the Fourth Proportional to 53,713.36, 74,120.38 and 29,838

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Solution

The fourth proportional to 53,713.36, 74,120.38 and 29,838 is: 41,174.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,713.36 : 74,120.38 = 29,838 : x
  2. Step 2: Convert to fraction form
    53,713.36/74,120.38 = 29,838/x
  3. Step 3: Cross multiply
    53,713.36x = 74,120.38 × 29,838
  4. Step 4: Simplify right side
    53,713.36x = 2,211,603,898.44
  5. Step 5: Solve for x
    x = 2,211,603,898.44/53,713.36
  6. Step 6: Final answer
    x = 41,174.19

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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.