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Finding the Fourth Proportional to 43,808.30, 65,721.81 and 16,106.30

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Solution

The fourth proportional to 43,808.30, 65,721.81 and 16,106.30 is: 24,162.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,808.30 : 65,721.81 = 16,106.30 : x
  2. Step 2: Convert to fraction form
    43,808.30/65,721.81 = 16,106.30/x
  3. Step 3: Cross multiply
    43,808.30x = 65,721.81 × 16,106.30
  4. Step 4: Simplify right side
    43,808.30x = 1,058,535,188.40
  5. Step 5: Solve for x
    x = 1,058,535,188.40/43,808.30
  6. Step 6: Final answer
    x = 24,162.89

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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.