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Finding the Fourth Proportional to 43,706, 65,559.18 and 16,004

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Solution

The fourth proportional to 43,706, 65,559.18 and 16,004 is: 24,006.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,706 : 65,559.18 = 16,004 : x
  2. Step 2: Convert to fraction form
    43,706/65,559.18 = 16,004/x
  3. Step 3: Cross multiply
    43,706x = 65,559.18 × 16,004
  4. Step 4: Simplify right side
    43,706x = 1,049,209,116.72
  5. Step 5: Solve for x
    x = 1,049,209,116.72/43,706
  6. Step 6: Final answer
    x = 24,006.07

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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.