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Finding the Fourth Proportional to 43,705, 65,557.68 and 16,003

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Solution

The fourth proportional to 43,705, 65,557.68 and 16,003 is: 24,004.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,705 : 65,557.68 = 16,003 : x
  2. Step 2: Convert to fraction form
    43,705/65,557.68 = 16,003/x
  3. Step 3: Cross multiply
    43,705x = 65,557.68 × 16,003
  4. Step 4: Simplify right side
    43,705x = 1,049,119,553.04
  5. Step 5: Solve for x
    x = 1,049,119,553.04/43,705
  6. Step 6: Final answer
    x = 24,004.57

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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.