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Finding the Fourth Proportional to 40,038.90, 59,992.38 and 13,729.20

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Solution

The fourth proportional to 40,038.90, 59,992.38 and 13,729.20 is: 20,571.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,038.90 : 59,992.38 = 13,729.20 : x
  2. Step 2: Convert to fraction form
    40,038.90/59,992.38 = 13,729.20/x
  3. Step 3: Cross multiply
    40,038.90x = 59,992.38 × 13,729.20
  4. Step 4: Simplify right side
    40,038.90x = 823,647,383.50
  5. Step 5: Solve for x
    x = 823,647,383.50/40,038.90
  6. Step 6: Final answer
    x = 20,571.18

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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.