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Finding the Fourth Proportional to 43,809.80, 65,724.06 and 16,107.80

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Solution

The fourth proportional to 43,809.80, 65,724.06 and 16,107.80 is: 24,165.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,809.80 : 65,724.06 = 16,107.80 : x
  2. Step 2: Convert to fraction form
    43,809.80/65,724.06 = 16,107.80/x
  3. Step 3: Cross multiply
    43,809.80x = 65,724.06 × 16,107.80
  4. Step 4: Simplify right side
    43,809.80x = 1,058,670,013.67
  5. Step 5: Solve for x
    x = 1,058,670,013.67/43,809.80
  6. Step 6: Final answer
    x = 24,165.14

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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.